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Finding the Fourth Proportional to 819.44, 1,229.50 and 768.18

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Solution

The fourth proportional to 819.44, 1,229.50 and 768.18 is: 1,152.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.44 : 1,229.50 = 768.18 : x
  2. Step 2: Convert to fraction form
    819.44/1,229.50 = 768.18/x
  3. Step 3: Cross multiply
    819.44x = 1,229.50 × 768.18
  4. Step 4: Simplify right side
    819.44x = 944,485.04
  5. Step 5: Solve for x
    x = 944,485.04/819.44
  6. Step 6: Final answer
    x = 1,152.60

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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.