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Finding the Fourth Proportional to 962.57, 1,327.96 and 542.81

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Solution

The fourth proportional to 962.57, 1,327.96 and 542.81 is: 748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.57 : 1,327.96 = 542.81 : x
  2. Step 2: Convert to fraction form
    962.57/1,327.96 = 542.81/x
  3. Step 3: Cross multiply
    962.57x = 1,327.96 × 542.81
  4. Step 4: Simplify right side
    962.57x = 720,826.50
  5. Step 5: Solve for x
    x = 720,826.50/962.57
  6. Step 6: Final answer
    x = 748.86

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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.