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Finding the Fourth Proportional to 819.56, 1,227.36 and 494.12

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Solution

The fourth proportional to 819.56, 1,227.36 and 494.12 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.56 : 1,227.36 = 494.12 : x
  2. Step 2: Convert to fraction form
    819.56/1,227.36 = 494.12/x
  3. Step 3: Cross multiply
    819.56x = 1,227.36 × 494.12
  4. Step 4: Simplify right side
    819.56x = 606,463.12
  5. Step 5: Solve for x
    x = 606,463.12/819.56
  6. Step 6: Final answer
    x = 739.99

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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.