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Finding the Fourth Proportional to 642.05, 963.14 and 532.61

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Solution

The fourth proportional to 642.05, 963.14 and 532.61 is: 798.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.05 : 963.14 = 532.61 : x
  2. Step 2: Convert to fraction form
    642.05/963.14 = 532.61/x
  3. Step 3: Cross multiply
    642.05x = 963.14 × 532.61
  4. Step 4: Simplify right side
    642.05x = 512,975.33
  5. Step 5: Solve for x
    x = 512,975.33/642.05
  6. Step 6: Final answer
    x = 798.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.