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Finding the Fourth Proportional to 791.47, 1,092.53 and 708.43

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Solution

The fourth proportional to 791.47, 1,092.53 and 708.43 is: 977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.47 : 1,092.53 = 708.43 : x
  2. Step 2: Convert to fraction form
    791.47/1,092.53 = 708.43/x
  3. Step 3: Cross multiply
    791.47x = 1,092.53 × 708.43
  4. Step 4: Simplify right side
    791.47x = 773,978.30
  5. Step 5: Solve for x
    x = 773,978.30/791.47
  6. Step 6: Final answer
    x = 977.90

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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.