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Finding the Fourth Proportional to 658.39, 986.82 and 311.81

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Solution

The fourth proportional to 658.39, 986.82 and 311.81 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.39 : 986.82 = 311.81 : x
  2. Step 2: Convert to fraction form
    658.39/986.82 = 311.81/x
  3. Step 3: Cross multiply
    658.39x = 986.82 × 311.81
  4. Step 4: Simplify right side
    658.39x = 307,700.34
  5. Step 5: Solve for x
    x = 307,700.34/658.39
  6. Step 6: Final answer
    x = 467.35

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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.