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Finding the Fourth Proportional to 658.15, 986.38 and 349.36

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Solution

The fourth proportional to 658.15, 986.38 and 349.36 is: 523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.15 : 986.38 = 349.36 : x
  2. Step 2: Convert to fraction form
    658.15/986.38 = 349.36/x
  3. Step 3: Cross multiply
    658.15x = 986.38 × 349.36
  4. Step 4: Simplify right side
    658.15x = 344,598.38
  5. Step 5: Solve for x
    x = 344,598.38/658.15
  6. Step 6: Final answer
    x = 523.59

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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.