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Finding the Fourth Proportional to 825.33, 1,236.62 and 581.34

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Solution

The fourth proportional to 825.33, 1,236.62 and 581.34 is: 871.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.33 : 1,236.62 = 581.34 : x
  2. Step 2: Convert to fraction form
    825.33/1,236.62 = 581.34/x
  3. Step 3: Cross multiply
    825.33x = 1,236.62 × 581.34
  4. Step 4: Simplify right side
    825.33x = 718,896.67
  5. Step 5: Solve for x
    x = 718,896.67/825.33
  6. Step 6: Final answer
    x = 871.05

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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.