Home / 2,408.19-3,611.94-764.58

Finding the Fourth Proportional to 2,408.19, 3,611.94 and 764.58

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Solution

The fourth proportional to 2,408.19, 3,611.94 and 764.58 is: 1,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.19 : 3,611.94 = 764.58 : x
  2. Step 2: Convert to fraction form
    2,408.19/3,611.94 = 764.58/x
  3. Step 3: Cross multiply
    2,408.19x = 3,611.94 × 764.58
  4. Step 4: Simplify right side
    2,408.19x = 2,761,617.09
  5. Step 5: Solve for x
    x = 2,761,617.09/2,408.19
  6. Step 6: Final answer
    x = 1,146.76

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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.