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Finding the Fourth Proportional to 819.57, 1,228.38 and 299.15

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Solution

The fourth proportional to 819.57, 1,228.38 and 299.15 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.57 : 1,228.38 = 299.15 : x
  2. Step 2: Convert to fraction form
    819.57/1,228.38 = 299.15/x
  3. Step 3: Cross multiply
    819.57x = 1,228.38 × 299.15
  4. Step 4: Simplify right side
    819.57x = 367,469.88
  5. Step 5: Solve for x
    x = 367,469.88/819.57
  6. Step 6: Final answer
    x = 448.37

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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.