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Finding the Fourth Proportional to 658.53, 987.33 and 311.67

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Solution

The fourth proportional to 658.53, 987.33 and 311.67 is: 467.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.53 : 987.33 = 311.67 : x
  2. Step 2: Convert to fraction form
    658.53/987.33 = 311.67/x
  3. Step 3: Cross multiply
    658.53x = 987.33 × 311.67
  4. Step 4: Simplify right side
    658.53x = 307,721.14
  5. Step 5: Solve for x
    x = 307,721.14/658.53
  6. Step 6: Final answer
    x = 467.28

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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.