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Finding the Fourth Proportional to 998.31, 1,378.28 and 684.09

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Solution

The fourth proportional to 998.31, 1,378.28 and 684.09 is: 944.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.31 : 1,378.28 = 684.09 : x
  2. Step 2: Convert to fraction form
    998.31/1,378.28 = 684.09/x
  3. Step 3: Cross multiply
    998.31x = 1,378.28 × 684.09
  4. Step 4: Simplify right side
    998.31x = 942,867.57
  5. Step 5: Solve for x
    x = 942,867.57/998.31
  6. Step 6: Final answer
    x = 944.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.