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Finding the Fourth Proportional to 2,452.29, 3,679.05 and 720.91

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Solution

The fourth proportional to 2,452.29, 3,679.05 and 720.91 is: 1,081.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.29 : 3,679.05 = 720.91 : x
  2. Step 2: Convert to fraction form
    2,452.29/3,679.05 = 720.91/x
  3. Step 3: Cross multiply
    2,452.29x = 3,679.05 × 720.91
  4. Step 4: Simplify right side
    2,452.29x = 2,652,263.94
  5. Step 5: Solve for x
    x = 2,652,263.94/2,452.29
  6. Step 6: Final answer
    x = 1,081.55

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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.