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Finding the Fourth Proportional to 961.77, 1,327.16 and 542.10

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Solution

The fourth proportional to 961.77, 1,327.16 and 542.10 is: 748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.77 : 1,327.16 = 542.10 : x
  2. Step 2: Convert to fraction form
    961.77/1,327.16 = 542.10/x
  3. Step 3: Cross multiply
    961.77x = 1,327.16 × 542.10
  4. Step 4: Simplify right side
    961.77x = 719,454.79
  5. Step 5: Solve for x
    x = 719,454.79/961.77
  6. Step 6: Final answer
    x = 748.05

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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.