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Finding the Fourth Proportional to 998.10, 1,497.39 and 381.80

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Solution

The fourth proportional to 998.10, 1,497.39 and 381.80 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.10 : 1,497.39 = 381.80 : x
  2. Step 2: Convert to fraction form
    998.10/1,497.39 = 381.80/x
  3. Step 3: Cross multiply
    998.10x = 1,497.39 × 381.80
  4. Step 4: Simplify right side
    998.10x = 571,696.02
  5. Step 5: Solve for x
    x = 571,696.02/998.10
  6. Step 6: Final answer
    x = 572.78

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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.