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Finding the Fourth Proportional to 667.13, 921.11 and 542.60

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Solution

The fourth proportional to 667.13, 921.11 and 542.60 is: 749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 921.11 = 542.60 : x
  2. Step 2: Convert to fraction form
    667.13/921.11 = 542.60/x
  3. Step 3: Cross multiply
    667.13x = 921.11 × 542.60
  4. Step 4: Simplify right side
    667.13x = 499,786.97
  5. Step 5: Solve for x
    x = 499,786.97/667.13
  6. Step 6: Final answer
    x = 749.17

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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.