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Finding the Fourth Proportional to 630.40, 869.44 and 542.72

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Solution

The fourth proportional to 630.40, 869.44 and 542.72 is: 748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.40 : 869.44 = 542.72 : x
  2. Step 2: Convert to fraction form
    630.40/869.44 = 542.72/x
  3. Step 3: Cross multiply
    630.40x = 869.44 × 542.72
  4. Step 4: Simplify right side
    630.40x = 471,862.48
  5. Step 5: Solve for x
    x = 471,862.48/630.40
  6. Step 6: Final answer
    x = 748.51

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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.