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Finding the Fourth Proportional to 791.29, 1,092.36 and 496.90

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Solution

The fourth proportional to 791.29, 1,092.36 and 496.90 is: 685.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.29 : 1,092.36 = 496.90 : x
  2. Step 2: Convert to fraction form
    791.29/1,092.36 = 496.90/x
  3. Step 3: Cross multiply
    791.29x = 1,092.36 × 496.90
  4. Step 4: Simplify right side
    791.29x = 542,793.68
  5. Step 5: Solve for x
    x = 542,793.68/791.29
  6. Step 6: Final answer
    x = 685.96

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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.