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Finding the Fourth Proportional to 819.69, 1,229.37 and 271.80

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Solution

The fourth proportional to 819.69, 1,229.37 and 271.80 is: 407.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.69 : 1,229.37 = 271.80 : x
  2. Step 2: Convert to fraction form
    819.69/1,229.37 = 271.80/x
  3. Step 3: Cross multiply
    819.69x = 1,229.37 × 271.80
  4. Step 4: Simplify right side
    819.69x = 334,142.77
  5. Step 5: Solve for x
    x = 334,142.77/819.69
  6. Step 6: Final answer
    x = 407.65

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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.