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Finding the Fourth Proportional to 864.65, 1,191.97 and 532.85

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Solution

The fourth proportional to 864.65, 1,191.97 and 532.85 is: 734.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.65 : 1,191.97 = 532.85 : x
  2. Step 2: Convert to fraction form
    864.65/1,191.97 = 532.85/x
  3. Step 3: Cross multiply
    864.65x = 1,191.97 × 532.85
  4. Step 4: Simplify right side
    864.65x = 635,141.21
  5. Step 5: Solve for x
    x = 635,141.21/864.65
  6. Step 6: Final answer
    x = 734.56

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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.