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Finding the Fourth Proportional to 825.43, 1,238.82 and 564.79

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Solution

The fourth proportional to 825.43, 1,238.82 and 564.79 is: 847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.43 : 1,238.82 = 564.79 : x
  2. Step 2: Convert to fraction form
    825.43/1,238.82 = 564.79/x
  3. Step 3: Cross multiply
    825.43x = 1,238.82 × 564.79
  4. Step 4: Simplify right side
    825.43x = 699,673.15
  5. Step 5: Solve for x
    x = 699,673.15/825.43
  6. Step 6: Final answer
    x = 847.65

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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.