Professional ratio and proportion tools based on mathematical principles and design standards. Perfect for design work, engineering calculations, and solving mathematical proportions.
Calculate screen dimensions, image scaling, and video format ratios for perfect proportions
Calculate engine compression ratios, performance impact, and fuel requirements
Find the divine proportion (φ = 1.618) for design, architecture, and natural patterns
Solve proportions, cross multiply, and find missing values in ratio equations
The proportional relationship between width and height of rectangles, screens, and images. Common ratios include 16:9 (widescreen), 4:3 (traditional TV), and 21:9 (ultrawide). Maintaining aspect ratio prevents distortion when scaling.
In engines, the ratio of cylinder volume at bottom dead center to top dead center. Higher compression ratios generally mean more power and efficiency but require higher octane fuel. Typical ratios range from 8:1 to 12:1 in gasoline engines.
The divine proportion approximately equal to 1.618, found throughout nature, art, and architecture. When a line is divided so that the longer part divided by the smaller part equals the whole length divided by the longer part, you get the golden ratio.
Equations stating that two ratios are equal (a:b = c:d). Used to solve for unknown values through cross multiplication. Essential for scaling, unit conversions, and solving real-world problems involving proportional relationships.
Mathematical Foundation: All ratio calculations are based on fundamental mathematical principles. Our calculators provide exact results for design work, engineering applications, and academic purposes. Results maintain precision for professional use across various industries and disciplines.
The golden ratio appears throughout nature - from flower petals and pinecones to galaxy spirals and human proportions. Designers and architects have used this "divine proportion" for millennia to create visually pleasing compositions that feel naturally balanced to the human eye.
Ratios are fundamental to modern technology. Screen aspect ratios determine how content displays, compression ratios affect engine performance, and mathematical proportions ensure structures are built to proper scale. Understanding ratios is essential for technical problem-solving.
Universal Language: Ratios and proportions form a universal mathematical language that transcends cultural boundaries. Whether you're designing a website, tuning an engine, or solving academic problems, understanding proportional relationships provides powerful tools for analysis and creation.