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Finding the Fourth Proportional to 896.27, 1,234.64 and 796.74

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Solution

The fourth proportional to 896.27, 1,234.64 and 796.74 is: 1,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.27 : 1,234.64 = 796.74 : x
  2. Step 2: Convert to fraction form
    896.27/1,234.64 = 796.74/x
  3. Step 3: Cross multiply
    896.27x = 1,234.64 × 796.74
  4. Step 4: Simplify right side
    896.27x = 983,684.44
  5. Step 5: Solve for x
    x = 983,684.44/896.27
  6. Step 6: Final answer
    x = 1,097.54

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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.