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Finding the Fourth Proportional to 658.02, 986.41 and 247.43

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Solution

The fourth proportional to 658.02, 986.41 and 247.43 is: 370.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.02 : 986.41 = 247.43 : x
  2. Step 2: Convert to fraction form
    658.02/986.41 = 247.43/x
  3. Step 3: Cross multiply
    658.02x = 986.41 × 247.43
  4. Step 4: Simplify right side
    658.02x = 244,067.43
  5. Step 5: Solve for x
    x = 244,067.43/658.02
  6. Step 6: Final answer
    x = 370.91

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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.