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Finding the Fourth Proportional to 494.23, 739.59 and 363.92

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Solution

The fourth proportional to 494.23, 739.59 and 363.92 is: 544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 739.59 = 363.92 : x
  2. Step 2: Convert to fraction form
    494.23/739.59 = 363.92/x
  3. Step 3: Cross multiply
    494.23x = 739.59 × 363.92
  4. Step 4: Simplify right side
    494.23x = 269,146.08
  5. Step 5: Solve for x
    x = 269,146.08/494.23
  6. Step 6: Final answer
    x = 544.58

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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.