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Finding the Fourth Proportional to 641.68, 884.49 and 454.78

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Solution

The fourth proportional to 641.68, 884.49 and 454.78 is: 626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.68 : 884.49 = 454.78 : x
  2. Step 2: Convert to fraction form
    641.68/884.49 = 454.78/x
  3. Step 3: Cross multiply
    641.68x = 884.49 × 454.78
  4. Step 4: Simplify right side
    641.68x = 402,248.36
  5. Step 5: Solve for x
    x = 402,248.36/641.68
  6. Step 6: Final answer
    x = 626.87

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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.