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Finding the Fourth Proportional to 2,278.80, 3,418.56 and 818.31

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Solution

The fourth proportional to 2,278.80, 3,418.56 and 818.31 is: 1,227.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.80 : 3,418.56 = 818.31 : x
  2. Step 2: Convert to fraction form
    2,278.80/3,418.56 = 818.31/x
  3. Step 3: Cross multiply
    2,278.80x = 3,418.56 × 818.31
  4. Step 4: Simplify right side
    2,278.80x = 2,797,441.83
  5. Step 5: Solve for x
    x = 2,797,441.83/2,278.80
  6. Step 6: Final answer
    x = 1,227.59

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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.