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Finding the Fourth Proportional to 596.82, 823.50 and 422.31

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Solution

The fourth proportional to 596.82, 823.50 and 422.31 is: 582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.82 : 823.50 = 422.31 : x
  2. Step 2: Convert to fraction form
    596.82/823.50 = 422.31/x
  3. Step 3: Cross multiply
    596.82x = 823.50 × 422.31
  4. Step 4: Simplify right side
    596.82x = 347,772.29
  5. Step 5: Solve for x
    x = 347,772.29/596.82
  6. Step 6: Final answer
    x = 582.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.