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Finding the Fourth Proportional to 819.66, 1,222.26 and 812.34

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Solution

The fourth proportional to 819.66, 1,222.26 and 812.34 is: 1,211.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.66 : 1,222.26 = 812.34 : x
  2. Step 2: Convert to fraction form
    819.66/1,222.26 = 812.34/x
  3. Step 3: Cross multiply
    819.66x = 1,222.26 × 812.34
  4. Step 4: Simplify right side
    819.66x = 992,890.69
  5. Step 5: Solve for x
    x = 992,890.69/819.66
  6. Step 6: Final answer
    x = 1,211.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.