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Finding the Fourth Proportional to 2,200.44, 3,299.75 and 968.66

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Solution

The fourth proportional to 2,200.44, 3,299.75 and 968.66 is: 1,452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.44 : 3,299.75 = 968.66 : x
  2. Step 2: Convert to fraction form
    2,200.44/3,299.75 = 968.66/x
  3. Step 3: Cross multiply
    2,200.44x = 3,299.75 × 968.66
  4. Step 4: Simplify right side
    2,200.44x = 3,196,331.86
  5. Step 5: Solve for x
    x = 3,196,331.86/2,200.44
  6. Step 6: Final answer
    x = 1,452.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.