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Finding the Fourth Proportional to 728.41, 1,005.17 and 396.84

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Solution

The fourth proportional to 728.41, 1,005.17 and 396.84 is: 547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.41 : 1,005.17 = 396.84 : x
  2. Step 2: Convert to fraction form
    728.41/1,005.17 = 396.84/x
  3. Step 3: Cross multiply
    728.41x = 1,005.17 × 396.84
  4. Step 4: Simplify right side
    728.41x = 398,886.64
  5. Step 5: Solve for x
    x = 398,886.64/728.41
  6. Step 6: Final answer
    x = 547.61

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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.