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Finding the Fourth Proportional to 1,363.47, 2,045.17 and 439.09

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Solution

The fourth proportional to 1,363.47, 2,045.17 and 439.09 is: 658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.47 : 2,045.17 = 439.09 : x
  2. Step 2: Convert to fraction form
    1,363.47/2,045.17 = 439.09/x
  3. Step 3: Cross multiply
    1,363.47x = 2,045.17 × 439.09
  4. Step 4: Simplify right side
    1,363.47x = 898,013.70
  5. Step 5: Solve for x
    x = 898,013.70/1,363.47
  6. Step 6: Final answer
    x = 658.62

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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.