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Finding the Fourth Proportional to 998.82, 1,378.68 and 579.27

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Solution

The fourth proportional to 998.82, 1,378.68 and 579.27 is: 799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.82 : 1,378.68 = 579.27 : x
  2. Step 2: Convert to fraction form
    998.82/1,378.68 = 579.27/x
  3. Step 3: Cross multiply
    998.82x = 1,378.68 × 579.27
  4. Step 4: Simplify right side
    998.82x = 798,630.96
  5. Step 5: Solve for x
    x = 798,630.96/998.82
  6. Step 6: Final answer
    x = 799.57

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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.