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Finding the Fourth Proportional to 819.88, 1,229.47 and 778.86

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Solution

The fourth proportional to 819.88, 1,229.47 and 778.86 is: 1,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.88 : 1,229.47 = 778.86 : x
  2. Step 2: Convert to fraction form
    819.88/1,229.47 = 778.86/x
  3. Step 3: Cross multiply
    819.88x = 1,229.47 × 778.86
  4. Step 4: Simplify right side
    819.88x = 957,583.06
  5. Step 5: Solve for x
    x = 957,583.06/819.88
  6. Step 6: Final answer
    x = 1,167.96

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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.