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Finding the Fourth Proportional to 2,201.45, 3,301.07 and 739.53

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Solution

The fourth proportional to 2,201.45, 3,301.07 and 739.53 is: 1,108.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201.45 : 3,301.07 = 739.53 : x
  2. Step 2: Convert to fraction form
    2,201.45/3,301.07 = 739.53/x
  3. Step 3: Cross multiply
    2,201.45x = 3,301.07 × 739.53
  4. Step 4: Simplify right side
    2,201.45x = 2,441,236.60
  5. Step 5: Solve for x
    x = 2,441,236.60/2,201.45
  6. Step 6: Final answer
    x = 1,108.92

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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.