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Finding the Fourth Proportional to 667.71, 920.16 and 542.97

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Solution

The fourth proportional to 667.71, 920.16 and 542.97 is: 748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.71 : 920.16 = 542.97 : x
  2. Step 2: Convert to fraction form
    667.71/920.16 = 542.97/x
  3. Step 3: Cross multiply
    667.71x = 920.16 × 542.97
  4. Step 4: Simplify right side
    667.71x = 499,619.28
  5. Step 5: Solve for x
    x = 499,619.28/667.71
  6. Step 6: Final answer
    x = 748.26

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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.