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Finding the Fourth Proportional to 2,452.41, 3,679.23 and 721.04

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Solution

The fourth proportional to 2,452.41, 3,679.23 and 721.04 is: 1,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.41 : 3,679.23 = 721.04 : x
  2. Step 2: Convert to fraction form
    2,452.41/3,679.23 = 721.04/x
  3. Step 3: Cross multiply
    2,452.41x = 3,679.23 × 721.04
  4. Step 4: Simplify right side
    2,452.41x = 2,652,853.60
  5. Step 5: Solve for x
    x = 2,652,853.60/2,452.41
  6. Step 6: Final answer
    x = 1,081.73

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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.