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Finding the Fourth Proportional to 660.88, 911.20 and 542.71

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Solution

The fourth proportional to 660.88, 911.20 and 542.71 is: 748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.88 : 911.20 = 542.71 : x
  2. Step 2: Convert to fraction form
    660.88/911.20 = 542.71/x
  3. Step 3: Cross multiply
    660.88x = 911.20 × 542.71
  4. Step 4: Simplify right side
    660.88x = 494,517.35
  5. Step 5: Solve for x
    x = 494,517.35/660.88
  6. Step 6: Final answer
    x = 748.27

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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.