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Finding the Fourth Proportional to 819.18, 1,227.83 and 494.78

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Solution

The fourth proportional to 819.18, 1,227.83 and 494.78 is: 741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.18 : 1,227.83 = 494.78 : x
  2. Step 2: Convert to fraction form
    819.18/1,227.83 = 494.78/x
  3. Step 3: Cross multiply
    819.18x = 1,227.83 × 494.78
  4. Step 4: Simplify right side
    819.18x = 607,497.11
  5. Step 5: Solve for x
    x = 607,497.11/819.18
  6. Step 6: Final answer
    x = 741.59

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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.