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Finding the Fourth Proportional to 812.26, 1,218.06 and 311.86

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Solution

The fourth proportional to 812.26, 1,218.06 and 311.86 is: 467.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.26 : 1,218.06 = 311.86 : x
  2. Step 2: Convert to fraction form
    812.26/1,218.06 = 311.86/x
  3. Step 3: Cross multiply
    812.26x = 1,218.06 × 311.86
  4. Step 4: Simplify right side
    812.26x = 379,859.98
  5. Step 5: Solve for x
    x = 379,859.98/812.26
  6. Step 6: Final answer
    x = 467.66

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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.