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Finding the Fourth Proportional to 2,716.44, 4,074.68 and 664.44

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Solution

The fourth proportional to 2,716.44, 4,074.68 and 664.44 is: 996.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.44 : 4,074.68 = 664.44 : x
  2. Step 2: Convert to fraction form
    2,716.44/4,074.68 = 664.44/x
  3. Step 3: Cross multiply
    2,716.44x = 4,074.68 × 664.44
  4. Step 4: Simplify right side
    2,716.44x = 2,707,380.38
  5. Step 5: Solve for x
    x = 2,707,380.38/2,716.44
  6. Step 6: Final answer
    x = 996.66

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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.