Proportional Reasoning

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities in a proportional context.

To find the actual distance for a different scale, set up a proportion using the known scale distance and actual distance.

Total Cost = Price + (Price × Sales Tax Rate).

Percentage Score = (Number of Correct Answers / Total Questions) × 100.

The scale is a ratio that represents the relationship between a distance on a map and the actual distance it represents.

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100.

Two quantities are in direct proportion if they increase or decrease at the same rate.

The scale factor is 562.5 km / 4.5 cm = 125 km/cm.

Cross-multiply the known values and solve for the missing value.

Understanding ratios helps in making comparisons, scaling recipes, and interpreting data.