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Finding the Fourth Proportional to 844.43, 1,257.17 and 840.38

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Solution

The fourth proportional to 844.43, 1,257.17 and 840.38 is: 1,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.43 : 1,257.17 = 840.38 : x
  2. Step 2: Convert to fraction form
    844.43/1,257.17 = 840.38/x
  3. Step 3: Cross multiply
    844.43x = 1,257.17 × 840.38
  4. Step 4: Simplify right side
    844.43x = 1,056,490.04
  5. Step 5: Solve for x
    x = 1,056,490.04/844.43
  6. Step 6: Final answer
    x = 1,251.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.