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Finding the Fourth Proportional to 747.52, 1,120.44 and 381.78

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Solution

The fourth proportional to 747.52, 1,120.44 and 381.78 is: 572.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.52 : 1,120.44 = 381.78 : x
  2. Step 2: Convert to fraction form
    747.52/1,120.44 = 381.78/x
  3. Step 3: Cross multiply
    747.52x = 1,120.44 × 381.78
  4. Step 4: Simplify right side
    747.52x = 427,761.58
  5. Step 5: Solve for x
    x = 427,761.58/747.52
  6. Step 6: Final answer
    x = 572.24

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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.