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Finding the Fourth Proportional to 998.40, 1,496.94 and 449.82

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Solution

The fourth proportional to 998.40, 1,496.94 and 449.82 is: 674.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.40 : 1,496.94 = 449.82 : x
  2. Step 2: Convert to fraction form
    998.40/1,496.94 = 449.82/x
  3. Step 3: Cross multiply
    998.40x = 1,496.94 × 449.82
  4. Step 4: Simplify right side
    998.40x = 673,353.55
  5. Step 5: Solve for x
    x = 673,353.55/998.40
  6. Step 6: Final answer
    x = 674.43

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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.