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Finding the Fourth Proportional to 791.97, 1,091.78 and 542.90

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Solution

The fourth proportional to 791.97, 1,091.78 and 542.90 is: 748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.97 : 1,091.78 = 542.90 : x
  2. Step 2: Convert to fraction form
    791.97/1,091.78 = 542.90/x
  3. Step 3: Cross multiply
    791.97x = 1,091.78 × 542.90
  4. Step 4: Simplify right side
    791.97x = 592,719.19
  5. Step 5: Solve for x
    x = 592,719.19/791.97
  6. Step 6: Final answer
    x = 748.41

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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.