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Finding the Fourth Proportional to 731.39, 1,092.26 and 650.75

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Solution

The fourth proportional to 731.39, 1,092.26 and 650.75 is: 971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.39 : 1,092.26 = 650.75 : x
  2. Step 2: Convert to fraction form
    731.39/1,092.26 = 650.75/x
  3. Step 3: Cross multiply
    731.39x = 1,092.26 × 650.75
  4. Step 4: Simplify right side
    731.39x = 710,788.20
  5. Step 5: Solve for x
    x = 710,788.20/731.39
  6. Step 6: Final answer
    x = 971.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.