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Finding the Fourth Proportional to 962.19, 1,327.72 and 542.53

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Solution

The fourth proportional to 962.19, 1,327.72 and 542.53 is: 748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,327.72 = 542.53 : x
  2. Step 2: Convert to fraction form
    962.19/1,327.72 = 542.53/x
  3. Step 3: Cross multiply
    962.19x = 1,327.72 × 542.53
  4. Step 4: Simplify right side
    962.19x = 720,318.58
  5. Step 5: Solve for x
    x = 720,318.58/962.19
  6. Step 6: Final answer
    x = 748.63

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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.