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Finding the Fourth Proportional to 819.92, 1,131.72 and 488.24

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Solution

The fourth proportional to 819.92, 1,131.72 and 488.24 is: 673.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.92 : 1,131.72 = 488.24 : x
  2. Step 2: Convert to fraction form
    819.92/1,131.72 = 488.24/x
  3. Step 3: Cross multiply
    819.92x = 1,131.72 × 488.24
  4. Step 4: Simplify right side
    819.92x = 552,550.97
  5. Step 5: Solve for x
    x = 552,550.97/819.92
  6. Step 6: Final answer
    x = 673.91

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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.