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Finding the Fourth Proportional to 2,408.36, 3,612.85 and 764.32

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Solution

The fourth proportional to 2,408.36, 3,612.85 and 764.32 is: 1,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.36 : 3,612.85 = 764.32 : x
  2. Step 2: Convert to fraction form
    2,408.36/3,612.85 = 764.32/x
  3. Step 3: Cross multiply
    2,408.36x = 3,612.85 × 764.32
  4. Step 4: Simplify right side
    2,408.36x = 2,761,369.69
  5. Step 5: Solve for x
    x = 2,761,369.69/2,408.36
  6. Step 6: Final answer
    x = 1,146.58

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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.