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Finding the Fourth Proportional to 998.14, 1,494.63 and 511.42

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Solution

The fourth proportional to 998.14, 1,494.63 and 511.42 is: 765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.14 : 1,494.63 = 511.42 : x
  2. Step 2: Convert to fraction form
    998.14/1,494.63 = 511.42/x
  3. Step 3: Cross multiply
    998.14x = 1,494.63 × 511.42
  4. Step 4: Simplify right side
    998.14x = 764,383.67
  5. Step 5: Solve for x
    x = 764,383.67/998.14
  6. Step 6: Final answer
    x = 765.81

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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.