Ratio and Proportion

• What is the purpose of a ratio?

  To compare two quantities
• How do ratios articulate quantities?

  They show how quantities relate to one another
• What defines a proportion?

  An equality between two quantities
• What does a proportion assert?

  It asserts the equivalence of two ratios
• What are the practical applications of ratio and proportion in architectural design?

  1. Scaling blueprints:

  • Scale up or down designs
  • Preserve proportionate dimensions

  1. Material usage:

  • Determine how much material is needed
  • Guarantees consistency

  1. Design and layout:

  • Ensure designs are aesthetically pleasing
  • Maintain harmony in furniture design
• What is the formula for a ratio?

  $A:B$
• What is another way to express a ratio?

  $A/B$
• What is the formula for a proportion?

  $A:B::C:D$
• How can a proportion also be expressed mathematically?

  $A/B::C/D$