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Finding the Fourth Proportional to 1,036.92, 1,431.27 and 638.70

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Solution

The fourth proportional to 1,036.92, 1,431.27 and 638.70 is: 881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.92 : 1,431.27 = 638.70 : x
  2. Step 2: Convert to fraction form
    1,036.92/1,431.27 = 638.70/x
  3. Step 3: Cross multiply
    1,036.92x = 1,431.27 × 638.70
  4. Step 4: Simplify right side
    1,036.92x = 914,154.13
  5. Step 5: Solve for x
    x = 914,154.13/1,036.92
  6. Step 6: Final answer
    x = 881.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.