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Finding the Fourth Proportional to 728.78, 998.94 and 718.53

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Solution

The fourth proportional to 728.78, 998.94 and 718.53 is: 984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.78 : 998.94 = 718.53 : x
  2. Step 2: Convert to fraction form
    728.78/998.94 = 718.53/x
  3. Step 3: Cross multiply
    728.78x = 998.94 × 718.53
  4. Step 4: Simplify right side
    728.78x = 717,764.77
  5. Step 5: Solve for x
    x = 717,764.77/728.78
  6. Step 6: Final answer
    x = 984.89

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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.