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Finding the Fourth Proportional to 1,036.31, 1,553.72 and 488.19

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Solution

The fourth proportional to 1,036.31, 1,553.72 and 488.19 is: 731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.31 : 1,553.72 = 488.19 : x
  2. Step 2: Convert to fraction form
    1,036.31/1,553.72 = 488.19/x
  3. Step 3: Cross multiply
    1,036.31x = 1,553.72 × 488.19
  4. Step 4: Simplify right side
    1,036.31x = 758,508.13
  5. Step 5: Solve for x
    x = 758,508.13/1,036.31
  6. Step 6: Final answer
    x = 731.94

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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.