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Finding the Fourth Proportional to 2,200.50, 3,301.02 and 661.50

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Solution

The fourth proportional to 2,200.50, 3,301.02 and 661.50 is: 992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.50 : 3,301.02 = 661.50 : x
  2. Step 2: Convert to fraction form
    2,200.50/3,301.02 = 661.50/x
  3. Step 3: Cross multiply
    2,200.50x = 3,301.02 × 661.50
  4. Step 4: Simplify right side
    2,200.50x = 2,183,624.73
  5. Step 5: Solve for x
    x = 2,183,624.73/2,200.50
  6. Step 6: Final answer
    x = 992.33

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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.