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Finding the Fourth Proportional to 739.23, 1,108.43 and 252.01

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Solution

The fourth proportional to 739.23, 1,108.43 and 252.01 is: 377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.23 : 1,108.43 = 252.01 : x
  2. Step 2: Convert to fraction form
    739.23/1,108.43 = 252.01/x
  3. Step 3: Cross multiply
    739.23x = 1,108.43 × 252.01
  4. Step 4: Simplify right side
    739.23x = 279,335.44
  5. Step 5: Solve for x
    x = 279,335.44/739.23
  6. Step 6: Final answer
    x = 377.87

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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.