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Finding the Fourth Proportional to 2,494.67, 3,742.01 and 645.65

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Solution

The fourth proportional to 2,494.67, 3,742.01 and 645.65 is: 968.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.67 : 3,742.01 = 645.65 : x
  2. Step 2: Convert to fraction form
    2,494.67/3,742.01 = 645.65/x
  3. Step 3: Cross multiply
    2,494.67x = 3,742.01 × 645.65
  4. Step 4: Simplify right side
    2,494.67x = 2,416,023.27
  5. Step 5: Solve for x
    x = 2,416,023.27/2,494.67
  6. Step 6: Final answer
    x = 968.48

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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.