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Finding the Fourth Proportional to 819.27, 1,234.95 and 683.22

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Solution

The fourth proportional to 819.27, 1,234.95 and 683.22 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.27 : 1,234.95 = 683.22 : x
  2. Step 2: Convert to fraction form
    819.27/1,234.95 = 683.22/x
  3. Step 3: Cross multiply
    819.27x = 1,234.95 × 683.22
  4. Step 4: Simplify right side
    819.27x = 843,748.45
  5. Step 5: Solve for x
    x = 843,748.45/819.27
  6. Step 6: Final answer
    x = 1,029.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.