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Finding the Fourth Proportional to 494.94, 742.39 and 124.75

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Solution

The fourth proportional to 494.94, 742.39 and 124.75 is: 187.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.94 : 742.39 = 124.75 : x
  2. Step 2: Convert to fraction form
    494.94/742.39 = 124.75/x
  3. Step 3: Cross multiply
    494.94x = 742.39 × 124.75
  4. Step 4: Simplify right side
    494.94x = 92,614.24
  5. Step 5: Solve for x
    x = 92,614.24/494.94
  6. Step 6: Final answer
    x = 187.12

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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.