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Finding the Fourth Proportional to 1,819.38, 2,729.07 and 451.38

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Solution

The fourth proportional to 1,819.38, 2,729.07 and 451.38 is: 677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.38 : 2,729.07 = 451.38 : x
  2. Step 2: Convert to fraction form
    1,819.38/2,729.07 = 451.38/x
  3. Step 3: Cross multiply
    1,819.38x = 2,729.07 × 451.38
  4. Step 4: Simplify right side
    1,819.38x = 1,231,847.62
  5. Step 5: Solve for x
    x = 1,231,847.62/1,819.38
  6. Step 6: Final answer
    x = 677.07

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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.