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Finding the Fourth Proportional to 791.26, 1,091.92 and 496.70

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Solution

The fourth proportional to 791.26, 1,091.92 and 496.70 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.26 : 1,091.92 = 496.70 : x
  2. Step 2: Convert to fraction form
    791.26/1,091.92 = 496.70/x
  3. Step 3: Cross multiply
    791.26x = 1,091.92 × 496.70
  4. Step 4: Simplify right side
    791.26x = 542,356.66
  5. Step 5: Solve for x
    x = 542,356.66/791.26
  6. Step 6: Final answer
    x = 685.43

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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.