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Finding the Fourth Proportional to 2,405.97, 3,609.09 and 674.73

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Solution

The fourth proportional to 2,405.97, 3,609.09 and 674.73 is: 1,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.97 : 3,609.09 = 674.73 : x
  2. Step 2: Convert to fraction form
    2,405.97/3,609.09 = 674.73/x
  3. Step 3: Cross multiply
    2,405.97x = 3,609.09 × 674.73
  4. Step 4: Simplify right side
    2,405.97x = 2,435,161.30
  5. Step 5: Solve for x
    x = 2,435,161.30/2,405.97
  6. Step 6: Final answer
    x = 1,012.13

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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.