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Finding the Fourth Proportional to 2,408.88, 3,612.81 and 765.57

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Solution

The fourth proportional to 2,408.88, 3,612.81 and 765.57 is: 1,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.88 : 3,612.81 = 765.57 : x
  2. Step 2: Convert to fraction form
    2,408.88/3,612.81 = 765.57/x
  3. Step 3: Cross multiply
    2,408.88x = 3,612.81 × 765.57
  4. Step 4: Simplify right side
    2,408.88x = 2,765,858.95
  5. Step 5: Solve for x
    x = 2,765,858.95/2,408.88
  6. Step 6: Final answer
    x = 1,148.19

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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.