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Finding the Fourth Proportional to 641.38, 885.10 and 408.50

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Solution

The fourth proportional to 641.38, 885.10 and 408.50 is: 563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.38 : 885.10 = 408.50 : x
  2. Step 2: Convert to fraction form
    641.38/885.10 = 408.50/x
  3. Step 3: Cross multiply
    641.38x = 885.10 × 408.50
  4. Step 4: Simplify right side
    641.38x = 361,563.35
  5. Step 5: Solve for x
    x = 361,563.35/641.38
  6. Step 6: Final answer
    x = 563.73

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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.