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Finding the Fourth Proportional to 998.23, 1,497.42 and 267.79

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Solution

The fourth proportional to 998.23, 1,497.42 and 267.79 is: 401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.23 : 1,497.42 = 267.79 : x
  2. Step 2: Convert to fraction form
    998.23/1,497.42 = 267.79/x
  3. Step 3: Cross multiply
    998.23x = 1,497.42 × 267.79
  4. Step 4: Simplify right side
    998.23x = 400,994.10
  5. Step 5: Solve for x
    x = 400,994.10/998.23
  6. Step 6: Final answer
    x = 401.71

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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.