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Finding the Fourth Proportional to 819.44, 1,229.15 and 271.78

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Solution

The fourth proportional to 819.44, 1,229.15 and 271.78 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.44 : 1,229.15 = 271.78 : x
  2. Step 2: Convert to fraction form
    819.44/1,229.15 = 271.78/x
  3. Step 3: Cross multiply
    819.44x = 1,229.15 × 271.78
  4. Step 4: Simplify right side
    819.44x = 334,055.99
  5. Step 5: Solve for x
    x = 334,055.99/819.44
  6. Step 6: Final answer
    x = 407.67

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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.