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Finding the Fourth Proportional to 961.61, 1,326.92 and 542.00

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Solution

The fourth proportional to 961.61, 1,326.92 and 542.00 is: 747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.61 : 1,326.92 = 542.00 : x
  2. Step 2: Convert to fraction form
    961.61/1,326.92 = 542.00/x
  3. Step 3: Cross multiply
    961.61x = 1,326.92 × 542.00
  4. Step 4: Simplify right side
    961.61x = 719,191.25
  5. Step 5: Solve for x
    x = 719,191.25/961.61
  6. Step 6: Final answer
    x = 747.91

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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.