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Finding the Fourth Proportional to 728.24, 1,003.21 and 541.41

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Solution

The fourth proportional to 728.24, 1,003.21 and 541.41 is: 745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.24 : 1,003.21 = 541.41 : x
  2. Step 2: Convert to fraction form
    728.24/1,003.21 = 541.41/x
  3. Step 3: Cross multiply
    728.24x = 1,003.21 × 541.41
  4. Step 4: Simplify right side
    728.24x = 543,145.22
  5. Step 5: Solve for x
    x = 543,145.22/728.24
  6. Step 6: Final answer
    x = 745.83

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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.