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Finding the Fourth Proportional to 796.22, 1,099.18 and 516.86

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Solution

The fourth proportional to 796.22, 1,099.18 and 516.86 is: 713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.22 : 1,099.18 = 516.86 : x
  2. Step 2: Convert to fraction form
    796.22/1,099.18 = 516.86/x
  3. Step 3: Cross multiply
    796.22x = 1,099.18 × 516.86
  4. Step 4: Simplify right side
    796.22x = 568,122.17
  5. Step 5: Solve for x
    x = 568,122.17/796.22
  6. Step 6: Final answer
    x = 713.52

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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.