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Finding the Fourth Proportional to 819.09, 1,229.51 and 454.19

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Solution

The fourth proportional to 819.09, 1,229.51 and 454.19 is: 681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.09 : 1,229.51 = 454.19 : x
  2. Step 2: Convert to fraction form
    819.09/1,229.51 = 454.19/x
  3. Step 3: Cross multiply
    819.09x = 1,229.51 × 454.19
  4. Step 4: Simplify right side
    819.09x = 558,426.13
  5. Step 5: Solve for x
    x = 558,426.13/819.09
  6. Step 6: Final answer
    x = 681.76

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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.