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Finding the Fourth Proportional to 812.25, 1,217.91 and 311.67

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Solution

The fourth proportional to 812.25, 1,217.91 and 311.67 is: 467.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.25 : 1,217.91 = 311.67 : x
  2. Step 2: Convert to fraction form
    812.25/1,217.91 = 311.67/x
  3. Step 3: Cross multiply
    812.25x = 1,217.91 × 311.67
  4. Step 4: Simplify right side
    812.25x = 379,586.01
  5. Step 5: Solve for x
    x = 379,586.01/812.25
  6. Step 6: Final answer
    x = 467.33

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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.