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Finding the Fourth Proportional to 998.12, 1,497.82 and 484.84

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Solution

The fourth proportional to 998.12, 1,497.82 and 484.84 is: 727.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.12 : 1,497.82 = 484.84 : x
  2. Step 2: Convert to fraction form
    998.12/1,497.82 = 484.84/x
  3. Step 3: Cross multiply
    998.12x = 1,497.82 × 484.84
  4. Step 4: Simplify right side
    998.12x = 726,203.05
  5. Step 5: Solve for x
    x = 726,203.05/998.12
  6. Step 6: Final answer
    x = 727.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.