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Finding the Fourth Proportional to 998.91, 1,378.37 and 579.26

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Solution

The fourth proportional to 998.91, 1,378.37 and 579.26 is: 799.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.91 : 1,378.37 = 579.26 : x
  2. Step 2: Convert to fraction form
    998.91/1,378.37 = 579.26/x
  3. Step 3: Cross multiply
    998.91x = 1,378.37 × 579.26
  4. Step 4: Simplify right side
    998.91x = 798,439.50
  5. Step 5: Solve for x
    x = 798,439.50/998.91
  6. Step 6: Final answer
    x = 799.31

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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.