SATACTMath_AI_
Syllabus/Problem Solving & Data Analysis
01SAT Math

Ratios, Rates & Proportions

Ratios, Rates & Proportions

Key Definitions

  • Ratio — comparison of two quantities (a:b or a/b)
  • Rate — ratio with different units (miles/hour, $/item)
  • Proportion — equation stating two ratios are equal
  • a/b = c/d → cross multiply: ad = bc

    Unit Conversion

  • Multiply by conversion factors where units cancel
  • Example: 60 mph × (5280 ft/mi) × (1 hr/3600 sec) = 88 ft/sec
  • SAT Tips

  • Set up proportions carefully — keep units consistent
  • For "per" problems, identify the rate and multiply/divide
  • Watch for part-to-part vs part-to-whole ratios
  • Ratios, Rates & Proportions | SAT Math Prep