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Finding the Fourth Proportional to 2,240.52, 3,361.21 and 739.63

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Solution

The fourth proportional to 2,240.52, 3,361.21 and 739.63 is: 1,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.52 : 3,361.21 = 739.63 : x
  2. Step 2: Convert to fraction form
    2,240.52/3,361.21 = 739.63/x
  3. Step 3: Cross multiply
    2,240.52x = 3,361.21 × 739.63
  4. Step 4: Simplify right side
    2,240.52x = 2,486,040.96
  5. Step 5: Solve for x
    x = 2,486,040.96/2,240.52
  6. Step 6: Final answer
    x = 1,109.58

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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.