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Finding the Fourth Proportional to 823.84, 1,236.36 and 550.46

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Solution

The fourth proportional to 823.84, 1,236.36 and 550.46 is: 826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.84 : 1,236.36 = 550.46 : x
  2. Step 2: Convert to fraction form
    823.84/1,236.36 = 550.46/x
  3. Step 3: Cross multiply
    823.84x = 1,236.36 × 550.46
  4. Step 4: Simplify right side
    823.84x = 680,566.73
  5. Step 5: Solve for x
    x = 680,566.73/823.84
  6. Step 6: Final answer
    x = 826.09

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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.