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Finding the Fourth Proportional to 2,200.78, 3,301.68 and 640.81

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Solution

The fourth proportional to 2,200.78, 3,301.68 and 640.81 is: 961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.78 : 3,301.68 = 640.81 : x
  2. Step 2: Convert to fraction form
    2,200.78/3,301.68 = 640.81/x
  3. Step 3: Cross multiply
    2,200.78x = 3,301.68 × 640.81
  4. Step 4: Simplify right side
    2,200.78x = 2,115,741.31
  5. Step 5: Solve for x
    x = 2,115,741.31/2,200.78
  6. Step 6: Final answer
    x = 961.36

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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.