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Finding the Fourth Proportional to 728.56, 998.64 and 718.31

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Solution

The fourth proportional to 728.56, 998.64 and 718.31 is: 984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.56 : 998.64 = 718.31 : x
  2. Step 2: Convert to fraction form
    728.56/998.64 = 718.31/x
  3. Step 3: Cross multiply
    728.56x = 998.64 × 718.31
  4. Step 4: Simplify right side
    728.56x = 717,335.60
  5. Step 5: Solve for x
    x = 717,335.60/728.56
  6. Step 6: Final answer
    x = 984.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.