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Finding the Fourth Proportional to 828.37, 1,244.91 and 797.69

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Solution

The fourth proportional to 828.37, 1,244.91 and 797.69 is: 1,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.37 : 1,244.91 = 797.69 : x
  2. Step 2: Convert to fraction form
    828.37/1,244.91 = 797.69/x
  3. Step 3: Cross multiply
    828.37x = 1,244.91 × 797.69
  4. Step 4: Simplify right side
    828.37x = 993,052.26
  5. Step 5: Solve for x
    x = 993,052.26/828.37
  6. Step 6: Final answer
    x = 1,198.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.