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Finding the Fourth Proportional to 1,553.79, 2,331.13 and 458.13

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Solution

The fourth proportional to 1,553.79, 2,331.13 and 458.13 is: 687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.79 : 2,331.13 = 458.13 : x
  2. Step 2: Convert to fraction form
    1,553.79/2,331.13 = 458.13/x
  3. Step 3: Cross multiply
    1,553.79x = 2,331.13 × 458.13
  4. Step 4: Simplify right side
    1,553.79x = 1,067,960.59
  5. Step 5: Solve for x
    x = 1,067,960.59/1,553.79
  6. Step 6: Final answer
    x = 687.33

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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.