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Finding the Fourth Proportional to 844.17, 1,265.82 and 381.73

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Solution

The fourth proportional to 844.17, 1,265.82 and 381.73 is: 572.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.17 : 1,265.82 = 381.73 : x
  2. Step 2: Convert to fraction form
    844.17/1,265.82 = 381.73/x
  3. Step 3: Cross multiply
    844.17x = 1,265.82 × 381.73
  4. Step 4: Simplify right side
    844.17x = 483,201.47
  5. Step 5: Solve for x
    x = 483,201.47/844.17
  6. Step 6: Final answer
    x = 572.40

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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.