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Finding the Fourth Proportional to 826.23, 1,236.91 and 551.64

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Solution

The fourth proportional to 826.23, 1,236.91 and 551.64 is: 825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.23 : 1,236.91 = 551.64 : x
  2. Step 2: Convert to fraction form
    826.23/1,236.91 = 551.64/x
  3. Step 3: Cross multiply
    826.23x = 1,236.91 × 551.64
  4. Step 4: Simplify right side
    826.23x = 682,329.03
  5. Step 5: Solve for x
    x = 682,329.03/826.23
  6. Step 6: Final answer
    x = 825.83

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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.