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Finding the Fourth Proportional to 998.35, 1,498.38 and 996.04

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Solution

The fourth proportional to 998.35, 1,498.38 and 996.04 is: 1,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.35 : 1,498.38 = 996.04 : x
  2. Step 2: Convert to fraction form
    998.35/1,498.38 = 996.04/x
  3. Step 3: Cross multiply
    998.35x = 1,498.38 × 996.04
  4. Step 4: Simplify right side
    998.35x = 1,492,446.42
  5. Step 5: Solve for x
    x = 1,492,446.42/998.35
  6. Step 6: Final answer
    x = 1,494.91

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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.