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Finding the Fourth Proportional to 819.96, 1,220.66 and 815.10

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Solution

The fourth proportional to 819.96, 1,220.66 and 815.10 is: 1,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.96 : 1,220.66 = 815.10 : x
  2. Step 2: Convert to fraction form
    819.96/1,220.66 = 815.10/x
  3. Step 3: Cross multiply
    819.96x = 1,220.66 × 815.10
  4. Step 4: Simplify right side
    819.96x = 994,955.89
  5. Step 5: Solve for x
    x = 994,955.89/819.96
  6. Step 6: Final answer
    x = 1,213.42

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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.