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Finding the Fourth Proportional to 2,408.68, 3,613.56 and 765.48

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Solution

The fourth proportional to 2,408.68, 3,613.56 and 765.48 is: 1,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.68 : 3,613.56 = 765.48 : x
  2. Step 2: Convert to fraction form
    2,408.68/3,613.56 = 765.48/x
  3. Step 3: Cross multiply
    2,408.68x = 3,613.56 × 765.48
  4. Step 4: Simplify right side
    2,408.68x = 2,766,107.91
  5. Step 5: Solve for x
    x = 2,766,107.91/2,408.68
  6. Step 6: Final answer
    x = 1,148.39

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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.