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Finding the Fourth Proportional to 2,408.95, 3,613.12 and 765.52

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Solution

The fourth proportional to 2,408.95, 3,613.12 and 765.52 is: 1,148.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.95 : 3,613.12 = 765.52 : x
  2. Step 2: Convert to fraction form
    2,408.95/3,613.12 = 765.52/x
  3. Step 3: Cross multiply
    2,408.95x = 3,613.12 × 765.52
  4. Step 4: Simplify right side
    2,408.95x = 2,765,893.73
  5. Step 5: Solve for x
    x = 2,765,893.73/2,408.95
  6. Step 6: Final answer
    x = 1,148.17

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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.