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Finding the Fourth Proportional to 998.02, 1,496.81 and 948.61

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Solution

The fourth proportional to 998.02, 1,496.81 and 948.61 is: 1,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.02 : 1,496.81 = 948.61 : x
  2. Step 2: Convert to fraction form
    998.02/1,496.81 = 948.61/x
  3. Step 3: Cross multiply
    998.02x = 1,496.81 × 948.61
  4. Step 4: Simplify right side
    998.02x = 1,419,893.18
  5. Step 5: Solve for x
    x = 1,419,893.18/998.02
  6. Step 6: Final answer
    x = 1,422.71

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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.