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Finding the Fourth Proportional to 2,494.92, 3,742.39 and 645.90

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Solution

The fourth proportional to 2,494.92, 3,742.39 and 645.90 is: 968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.92 : 3,742.39 = 645.90 : x
  2. Step 2: Convert to fraction form
    2,494.92/3,742.39 = 645.90/x
  3. Step 3: Cross multiply
    2,494.92x = 3,742.39 × 645.90
  4. Step 4: Simplify right side
    2,494.92x = 2,417,206.47
  5. Step 5: Solve for x
    x = 2,417,206.47/2,494.92
  6. Step 6: Final answer
    x = 968.85

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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.