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Finding the Fourth Proportional to 819.97, 1,230.31 and 435.13

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Solution

The fourth proportional to 819.97, 1,230.31 and 435.13 is: 652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.97 : 1,230.31 = 435.13 : x
  2. Step 2: Convert to fraction form
    819.97/1,230.31 = 435.13/x
  3. Step 3: Cross multiply
    819.97x = 1,230.31 × 435.13
  4. Step 4: Simplify right side
    819.97x = 535,344.79
  5. Step 5: Solve for x
    x = 535,344.79/819.97
  6. Step 6: Final answer
    x = 652.88

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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.