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Finding the Fourth Proportional to 819.36, 1,230.84 and 494.92

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Solution

The fourth proportional to 819.36, 1,230.84 and 494.92 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.36 : 1,230.84 = 494.92 : x
  2. Step 2: Convert to fraction form
    819.36/1,230.84 = 494.92/x
  3. Step 3: Cross multiply
    819.36x = 1,230.84 × 494.92
  4. Step 4: Simplify right side
    819.36x = 609,167.33
  5. Step 5: Solve for x
    x = 609,167.33/819.36
  6. Step 6: Final answer
    x = 743.47

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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.