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Finding the Fourth Proportional to 392.37, 587.79 and 347.73

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Solution

The fourth proportional to 392.37, 587.79 and 347.73 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.37 : 587.79 = 347.73 : x
  2. Step 2: Convert to fraction form
    392.37/587.79 = 347.73/x
  3. Step 3: Cross multiply
    392.37x = 587.79 × 347.73
  4. Step 4: Simplify right side
    392.37x = 204,392.22
  5. Step 5: Solve for x
    x = 204,392.22/392.37
  6. Step 6: Final answer
    x = 520.92

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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.