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Finding the Fourth Proportional to 494.09, 739.92 and 395.90

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Solution

The fourth proportional to 494.09, 739.92 and 395.90 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.09 : 739.92 = 395.90 : x
  2. Step 2: Convert to fraction form
    494.09/739.92 = 395.90/x
  3. Step 3: Cross multiply
    494.09x = 739.92 × 395.90
  4. Step 4: Simplify right side
    494.09x = 292,934.33
  5. Step 5: Solve for x
    x = 292,934.33/494.09
  6. Step 6: Final answer
    x = 592.88

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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.