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Finding the Fourth Proportional to 2,408.57, 3,612.98 and 765.25

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Solution

The fourth proportional to 2,408.57, 3,612.98 and 765.25 is: 1,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.57 : 3,612.98 = 765.25 : x
  2. Step 2: Convert to fraction form
    2,408.57/3,612.98 = 765.25/x
  3. Step 3: Cross multiply
    2,408.57x = 3,612.98 × 765.25
  4. Step 4: Simplify right side
    2,408.57x = 2,764,832.95
  5. Step 5: Solve for x
    x = 2,764,832.95/2,408.57
  6. Step 6: Final answer
    x = 1,147.91

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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.