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Finding the Fourth Proportional to 791.57, 1,091.76 and 542.54

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Solution

The fourth proportional to 791.57, 1,091.76 and 542.54 is: 748.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.57 : 1,091.76 = 542.54 : x
  2. Step 2: Convert to fraction form
    791.57/1,091.76 = 542.54/x
  3. Step 3: Cross multiply
    791.57x = 1,091.76 × 542.54
  4. Step 4: Simplify right side
    791.57x = 592,323.47
  5. Step 5: Solve for x
    x = 592,323.47/791.57
  6. Step 6: Final answer
    x = 748.29

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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.