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Finding the Fourth Proportional to 739.42, 1,109.35 and 252.47

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Solution

The fourth proportional to 739.42, 1,109.35 and 252.47 is: 378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.42 : 1,109.35 = 252.47 : x
  2. Step 2: Convert to fraction form
    739.42/1,109.35 = 252.47/x
  3. Step 3: Cross multiply
    739.42x = 1,109.35 × 252.47
  4. Step 4: Simplify right side
    739.42x = 280,072.05
  5. Step 5: Solve for x
    x = 280,072.05/739.42
  6. Step 6: Final answer
    x = 378.78

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1.5x scale

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.