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Finding the Fourth Proportional to 642.10, 963.41 and 411.25

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Solution

The fourth proportional to 642.10, 963.41 and 411.25 is: 617.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 963.41 = 411.25 : x
  2. Step 2: Convert to fraction form
    642.10/963.41 = 411.25/x
  3. Step 3: Cross multiply
    642.10x = 963.41 × 411.25
  4. Step 4: Simplify right side
    642.10x = 396,197.55
  5. Step 5: Solve for x
    x = 396,197.55/642.10
  6. Step 6: Final answer
    x = 617.04

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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.