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Finding the Fourth Proportional to 687.73, 949.25 and 422.26

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Solution

The fourth proportional to 687.73, 949.25 and 422.26 is: 582.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.73 : 949.25 = 422.26 : x
  2. Step 2: Convert to fraction form
    687.73/949.25 = 422.26/x
  3. Step 3: Cross multiply
    687.73x = 949.25 × 422.26
  4. Step 4: Simplify right side
    687.73x = 400,828.19
  5. Step 5: Solve for x
    x = 400,828.19/687.73
  6. Step 6: Final answer
    x = 582.83

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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.