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Finding the Fourth Proportional to 993.67, 1,489.59 and 499.77

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Solution

The fourth proportional to 993.67, 1,489.59 and 499.77 is: 749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.67 : 1,489.59 = 499.77 : x
  2. Step 2: Convert to fraction form
    993.67/1,489.59 = 499.77/x
  3. Step 3: Cross multiply
    993.67x = 1,489.59 × 499.77
  4. Step 4: Simplify right side
    993.67x = 744,452.39
  5. Step 5: Solve for x
    x = 744,452.39/993.67
  6. Step 6: Final answer
    x = 749.20

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.