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Finding the Fourth Proportional to 796.58, 1,099.38 and 447.27

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Solution

The fourth proportional to 796.58, 1,099.38 and 447.27 is: 617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.58 : 1,099.38 = 447.27 : x
  2. Step 2: Convert to fraction form
    796.58/1,099.38 = 447.27/x
  3. Step 3: Cross multiply
    796.58x = 1,099.38 × 447.27
  4. Step 4: Simplify right side
    796.58x = 491,714.20
  5. Step 5: Solve for x
    x = 491,714.20/796.58
  6. Step 6: Final answer
    x = 617.28

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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.