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Finding the Fourth Proportional to 642.72, 963.77 and 382.76

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Solution

The fourth proportional to 642.72, 963.77 and 382.76 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.72 : 963.77 = 382.76 : x
  2. Step 2: Convert to fraction form
    642.72/963.77 = 382.76/x
  3. Step 3: Cross multiply
    642.72x = 963.77 × 382.76
  4. Step 4: Simplify right side
    642.72x = 368,892.61
  5. Step 5: Solve for x
    x = 368,892.61/642.72
  6. Step 6: Final answer
    x = 573.96

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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.