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Finding the Fourth Proportional to 819.82, 1,228.65 and 333.24

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Solution

The fourth proportional to 819.82, 1,228.65 and 333.24 is: 499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.82 : 1,228.65 = 333.24 : x
  2. Step 2: Convert to fraction form
    819.82/1,228.65 = 333.24/x
  3. Step 3: Cross multiply
    819.82x = 1,228.65 × 333.24
  4. Step 4: Simplify right side
    819.82x = 409,435.33
  5. Step 5: Solve for x
    x = 409,435.33/819.82
  6. Step 6: Final answer
    x = 499.42

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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.