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Finding the Fourth Proportional to 819.60, 1,231.20 and 576.60

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Solution

The fourth proportional to 819.60, 1,231.20 and 576.60 is: 866.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.60 : 1,231.20 = 576.60 : x
  2. Step 2: Convert to fraction form
    819.60/1,231.20 = 576.60/x
  3. Step 3: Cross multiply
    819.60x = 1,231.20 × 576.60
  4. Step 4: Simplify right side
    819.60x = 709,909.92
  5. Step 5: Solve for x
    x = 709,909.92/819.60
  6. Step 6: Final answer
    x = 866.17

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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.