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Finding the Fourth Proportional to 961.74, 1,327.15 and 542.16

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Solution

The fourth proportional to 961.74, 1,327.15 and 542.16 is: 748.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.74 : 1,327.15 = 542.16 : x
  2. Step 2: Convert to fraction form
    961.74/1,327.15 = 542.16/x
  3. Step 3: Cross multiply
    961.74x = 1,327.15 × 542.16
  4. Step 4: Simplify right side
    961.74x = 719,527.64
  5. Step 5: Solve for x
    x = 719,527.64/961.74
  6. Step 6: Final answer
    x = 748.15

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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.