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Finding the Fourth Proportional to 819.96, 1,131.42 and 488.30

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Solution

The fourth proportional to 819.96, 1,131.42 and 488.30 is: 673.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.96 : 1,131.42 = 488.30 : x
  2. Step 2: Convert to fraction form
    819.96/1,131.42 = 488.30/x
  3. Step 3: Cross multiply
    819.96x = 1,131.42 × 488.30
  4. Step 4: Simplify right side
    819.96x = 552,472.39
  5. Step 5: Solve for x
    x = 552,472.39/819.96
  6. Step 6: Final answer
    x = 673.78

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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.