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Finding the Fourth Proportional to 641.87, 885.96 and 380.03

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Solution

The fourth proportional to 641.87, 885.96 and 380.03 is: 524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.87 : 885.96 = 380.03 : x
  2. Step 2: Convert to fraction form
    641.87/885.96 = 380.03/x
  3. Step 3: Cross multiply
    641.87x = 885.96 × 380.03
  4. Step 4: Simplify right side
    641.87x = 336,691.38
  5. Step 5: Solve for x
    x = 336,691.38/641.87
  6. Step 6: Final answer
    x = 524.55

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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.