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Finding the Fourth Proportional to 920.20, 1,380.42 and 487.38

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Solution

The fourth proportional to 920.20, 1,380.42 and 487.38 is: 731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.20 : 1,380.42 = 487.38 : x
  2. Step 2: Convert to fraction form
    920.20/1,380.42 = 487.38/x
  3. Step 3: Cross multiply
    920.20x = 1,380.42 × 487.38
  4. Step 4: Simplify right side
    920.20x = 672,789.10
  5. Step 5: Solve for x
    x = 672,789.10/920.20
  6. Step 6: Final answer
    x = 731.13

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