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Finding the Fourth Proportional to 865.32, 1,194.18 and 691.92

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Solution

The fourth proportional to 865.32, 1,194.18 and 691.92 is: 954.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.32 : 1,194.18 = 691.92 : x
  2. Step 2: Convert to fraction form
    865.32/1,194.18 = 691.92/x
  3. Step 3: Cross multiply
    865.32x = 1,194.18 × 691.92
  4. Step 4: Simplify right side
    865.32x = 826,277.03
  5. Step 5: Solve for x
    x = 826,277.03/865.32
  6. Step 6: Final answer
    x = 954.88

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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.