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Finding the Fourth Proportional to 819.25, 1,227.45 and 493.90

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Solution

The fourth proportional to 819.25, 1,227.45 and 493.90 is: 739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.25 : 1,227.45 = 493.90 : x
  2. Step 2: Convert to fraction form
    819.25/1,227.45 = 493.90/x
  3. Step 3: Cross multiply
    819.25x = 1,227.45 × 493.90
  4. Step 4: Simplify right side
    819.25x = 606,237.56
  5. Step 5: Solve for x
    x = 606,237.56/819.25
  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.