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Finding the Fourth Proportional to 791.65, 1,092.47 and 497.31

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Solution

The fourth proportional to 791.65, 1,092.47 and 497.31 is: 686.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.65 : 1,092.47 = 497.31 : x
  2. Step 2: Convert to fraction form
    791.65/1,092.47 = 497.31/x
  3. Step 3: Cross multiply
    791.65x = 1,092.47 × 497.31
  4. Step 4: Simplify right side
    791.65x = 543,303.79
  5. Step 5: Solve for x
    x = 543,303.79/791.65
  6. Step 6: Final answer
    x = 686.29

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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.