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Finding the Fourth Proportional to 392.92, 587.08 and 379.30

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Solution

The fourth proportional to 392.92, 587.08 and 379.30 is: 566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.92 : 587.08 = 379.30 : x
  2. Step 2: Convert to fraction form
    392.92/587.08 = 379.30/x
  3. Step 3: Cross multiply
    392.92x = 587.08 × 379.30
  4. Step 4: Simplify right side
    392.92x = 222,679.44
  5. Step 5: Solve for x
    x = 222,679.44/392.92
  6. Step 6: Final answer
    x = 566.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.