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Finding the Fourth Proportional to 998.22, 1,377.19 and 599.90

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Solution

The fourth proportional to 998.22, 1,377.19 and 599.90 is: 827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.22 : 1,377.19 = 599.90 : x
  2. Step 2: Convert to fraction form
    998.22/1,377.19 = 599.90/x
  3. Step 3: Cross multiply
    998.22x = 1,377.19 × 599.90
  4. Step 4: Simplify right side
    998.22x = 826,173.28
  5. Step 5: Solve for x
    x = 826,173.28/998.22
  6. Step 6: Final answer
    x = 827.65

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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.