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Finding the Fourth Proportional to 728.39, 1,004.05 and 541.59

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Solution

The fourth proportional to 728.39, 1,004.05 and 541.59 is: 746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.39 : 1,004.05 = 541.59 : x
  2. Step 2: Convert to fraction form
    728.39/1,004.05 = 541.59/x
  3. Step 3: Cross multiply
    728.39x = 1,004.05 × 541.59
  4. Step 4: Simplify right side
    728.39x = 543,777.30
  5. Step 5: Solve for x
    x = 543,777.30/728.39
  6. Step 6: Final answer
    x = 746.54

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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.