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Finding the Fourth Proportional to 658.06, 986.78 and 311.11

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Solution

The fourth proportional to 658.06, 986.78 and 311.11 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.06 : 986.78 = 311.11 : x
  2. Step 2: Convert to fraction form
    658.06/986.78 = 311.11/x
  3. Step 3: Cross multiply
    658.06x = 986.78 × 311.11
  4. Step 4: Simplify right side
    658.06x = 306,990.64
  5. Step 5: Solve for x
    x = 306,990.64/658.06
  6. Step 6: Final answer
    x = 466.51

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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.