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Finding the Fourth Proportional to 687.83, 949.22 and 422.31

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Solution

The fourth proportional to 687.83, 949.22 and 422.31 is: 582.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.83 : 949.22 = 422.31 : x
  2. Step 2: Convert to fraction form
    687.83/949.22 = 422.31/x
  3. Step 3: Cross multiply
    687.83x = 949.22 × 422.31
  4. Step 4: Simplify right side
    687.83x = 400,868.13
  5. Step 5: Solve for x
    x = 400,868.13/687.83
  6. Step 6: Final answer
    x = 582.81

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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.