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Finding the Fourth Proportional to 796.35, 1,098.96 and 447.04

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Solution

The fourth proportional to 796.35, 1,098.96 and 447.04 is: 616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.35 : 1,098.96 = 447.04 : x
  2. Step 2: Convert to fraction form
    796.35/1,098.96 = 447.04/x
  3. Step 3: Cross multiply
    796.35x = 1,098.96 × 447.04
  4. Step 4: Simplify right side
    796.35x = 491,273.58
  5. Step 5: Solve for x
    x = 491,273.58/796.35
  6. Step 6: Final answer
    x = 616.91

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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.