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Finding the Fourth Proportional to 728.96, 1,003.65 and 679.28

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Solution

The fourth proportional to 728.96, 1,003.65 and 679.28 is: 935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.96 : 1,003.65 = 679.28 : x
  2. Step 2: Convert to fraction form
    728.96/1,003.65 = 679.28/x
  3. Step 3: Cross multiply
    728.96x = 1,003.65 × 679.28
  4. Step 4: Simplify right side
    728.96x = 681,759.33
  5. Step 5: Solve for x
    x = 681,759.33/728.96
  6. Step 6: Final answer
    x = 935.25

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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.