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Finding the Fourth Proportional to 998.78, 1,497.90 and 382.82

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Solution

The fourth proportional to 998.78, 1,497.90 and 382.82 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.78 : 1,497.90 = 382.82 : x
  2. Step 2: Convert to fraction form
    998.78/1,497.90 = 382.82/x
  3. Step 3: Cross multiply
    998.78x = 1,497.90 × 382.82
  4. Step 4: Simplify right side
    998.78x = 573,426.08
  5. Step 5: Solve for x
    x = 573,426.08/998.78
  6. Step 6: Final answer
    x = 574.13

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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.