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Finding the Fourth Proportional to 864.46, 1,193.05 and 532.82

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Solution

The fourth proportional to 864.46, 1,193.05 and 532.82 is: 735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.46 : 1,193.05 = 532.82 : x
  2. Step 2: Convert to fraction form
    864.46/1,193.05 = 532.82/x
  3. Step 3: Cross multiply
    864.46x = 1,193.05 × 532.82
  4. Step 4: Simplify right side
    864.46x = 635,680.90
  5. Step 5: Solve for x
    x = 635,680.90/864.46
  6. Step 6: Final answer
    x = 735.35

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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.