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Finding the Fourth Proportional to 2,408.18, 3,612.65 and 764.60

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Solution

The fourth proportional to 2,408.18, 3,612.65 and 764.60 is: 1,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.18 : 3,612.65 = 764.60 : x
  2. Step 2: Convert to fraction form
    2,408.18/3,612.65 = 764.60/x
  3. Step 3: Cross multiply
    2,408.18x = 3,612.65 × 764.60
  4. Step 4: Simplify right side
    2,408.18x = 2,762,217.14
  5. Step 5: Solve for x
    x = 2,762,217.14/2,408.18
  6. Step 6: Final answer
    x = 1,147.02

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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.