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Finding the Fourth Proportional to 728.73, 1,101.03 and 722.25

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Solution

The fourth proportional to 728.73, 1,101.03 and 722.25 is: 1,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.73 : 1,101.03 = 722.25 : x
  2. Step 2: Convert to fraction form
    728.73/1,101.03 = 722.25/x
  3. Step 3: Cross multiply
    728.73x = 1,101.03 × 722.25
  4. Step 4: Simplify right side
    728.73x = 795,216.21
  5. Step 5: Solve for x
    x = 795,216.21/728.73
  6. Step 6: Final answer
    x = 1,091.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.