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Finding the Fourth Proportional to 2,200.65, 3,301.14 and 739.80

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Solution

The fourth proportional to 2,200.65, 3,301.14 and 739.80 is: 1,109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.65 : 3,301.14 = 739.80 : x
  2. Step 2: Convert to fraction form
    2,200.65/3,301.14 = 739.80/x
  3. Step 3: Cross multiply
    2,200.65x = 3,301.14 × 739.80
  4. Step 4: Simplify right side
    2,200.65x = 2,442,183.37
  5. Step 5: Solve for x
    x = 2,442,183.37/2,200.65
  6. Step 6: Final answer
    x = 1,109.76

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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.