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Finding the Fourth Proportional to 642.92, 963.29 and 459.38

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Solution

The fourth proportional to 642.92, 963.29 and 459.38 is: 688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.92 : 963.29 = 459.38 : x
  2. Step 2: Convert to fraction form
    642.92/963.29 = 459.38/x
  3. Step 3: Cross multiply
    642.92x = 963.29 × 459.38
  4. Step 4: Simplify right side
    642.92x = 442,519.72
  5. Step 5: Solve for x
    x = 442,519.72/642.92
  6. Step 6: Final answer
    x = 688.30

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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.