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Finding the Fourth Proportional to 925.22, 1,275.75 and 868.73

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Solution

The fourth proportional to 925.22, 1,275.75 and 868.73 is: 1,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.22 : 1,275.75 = 868.73 : x
  2. Step 2: Convert to fraction form
    925.22/1,275.75 = 868.73/x
  3. Step 3: Cross multiply
    925.22x = 1,275.75 × 868.73
  4. Step 4: Simplify right side
    925.22x = 1,108,275.92
  5. Step 5: Solve for x
    x = 1,108,275.92/925.22
  6. Step 6: Final answer
    x = 1,197.85

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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.