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Finding the Fourth Proportional to 998.28, 1,377.41 and 578.70

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Solution

The fourth proportional to 998.28, 1,377.41 and 578.70 is: 798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.28 : 1,377.41 = 578.70 : x
  2. Step 2: Convert to fraction form
    998.28/1,377.41 = 578.70/x
  3. Step 3: Cross multiply
    998.28x = 1,377.41 × 578.70
  4. Step 4: Simplify right side
    998.28x = 797,104.27
  5. Step 5: Solve for x
    x = 797,104.27/998.28
  6. Step 6: Final answer
    x = 798.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.