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Finding the Fourth Proportional to 739.69, 1,109.82 and 252.46

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Solution

The fourth proportional to 739.69, 1,109.82 and 252.46 is: 378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.69 : 1,109.82 = 252.46 : x
  2. Step 2: Convert to fraction form
    739.69/1,109.82 = 252.46/x
  3. Step 3: Cross multiply
    739.69x = 1,109.82 × 252.46
  4. Step 4: Simplify right side
    739.69x = 280,185.16
  5. Step 5: Solve for x
    x = 280,185.16/739.69
  6. Step 6: Final answer
    x = 378.79

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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.