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Finding the Fourth Proportional to 728.15, 1,004.82 and 396.57

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Solution

The fourth proportional to 728.15, 1,004.82 and 396.57 is: 547.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.15 : 1,004.82 = 396.57 : x
  2. Step 2: Convert to fraction form
    728.15/1,004.82 = 396.57/x
  3. Step 3: Cross multiply
    728.15x = 1,004.82 × 396.57
  4. Step 4: Simplify right side
    728.15x = 398,477.70
  5. Step 5: Solve for x
    x = 398,477.70/728.15
  6. Step 6: Final answer
    x = 547.25

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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.