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Finding the Fourth Proportional to 998.31, 1,498.56 and 633.33

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Solution

The fourth proportional to 998.31, 1,498.56 and 633.33 is: 950.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.31 : 1,498.56 = 633.33 : x
  2. Step 2: Convert to fraction form
    998.31/1,498.56 = 633.33/x
  3. Step 3: Cross multiply
    998.31x = 1,498.56 × 633.33
  4. Step 4: Simplify right side
    998.31x = 949,083.00
  5. Step 5: Solve for x
    x = 949,083.00/998.31
  6. Step 6: Final answer
    x = 950.69

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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.