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Finding the Fourth Proportional to 747.31, 1,121.38 and 439.77

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Solution

The fourth proportional to 747.31, 1,121.38 and 439.77 is: 659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.31 : 1,121.38 = 439.77 : x
  2. Step 2: Convert to fraction form
    747.31/1,121.38 = 439.77/x
  3. Step 3: Cross multiply
    747.31x = 1,121.38 × 439.77
  4. Step 4: Simplify right side
    747.31x = 493,149.28
  5. Step 5: Solve for x
    x = 493,149.28/747.31
  6. Step 6: Final answer
    x = 659.90

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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.