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Finding the Fourth Proportional to 727.73, 1,004.24 and 396.16

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Solution

The fourth proportional to 727.73, 1,004.24 and 396.16 is: 546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.73 : 1,004.24 = 396.16 : x
  2. Step 2: Convert to fraction form
    727.73/1,004.24 = 396.16/x
  3. Step 3: Cross multiply
    727.73x = 1,004.24 × 396.16
  4. Step 4: Simplify right side
    727.73x = 397,837.85
  5. Step 5: Solve for x
    x = 397,837.85/727.73
  6. Step 6: Final answer
    x = 546.68

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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.