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Finding the Fourth Proportional to 747.31, 1,031.43 and 432.78

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Solution

The fourth proportional to 747.31, 1,031.43 and 432.78 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.31 : 1,031.43 = 432.78 : x
  2. Step 2: Convert to fraction form
    747.31/1,031.43 = 432.78/x
  3. Step 3: Cross multiply
    747.31x = 1,031.43 × 432.78
  4. Step 4: Simplify right side
    747.31x = 446,382.28
  5. Step 5: Solve for x
    x = 446,382.28/747.31
  6. Step 6: Final answer
    x = 597.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.