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Finding the Fourth Proportional to 2,462.74, 3,694.09 and 613.85

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Solution

The fourth proportional to 2,462.74, 3,694.09 and 613.85 is: 920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.74 : 3,694.09 = 613.85 : x
  2. Step 2: Convert to fraction form
    2,462.74/3,694.09 = 613.85/x
  3. Step 3: Cross multiply
    2,462.74x = 3,694.09 × 613.85
  4. Step 4: Simplify right side
    2,462.74x = 2,267,618.68
  5. Step 5: Solve for x
    x = 2,267,618.68/2,462.74
  6. Step 6: Final answer
    x = 920.77

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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.