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Finding the Fourth Proportional to 618.49, 853.36 and 422.20

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Solution

The fourth proportional to 618.49, 853.36 and 422.20 is: 582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.49 : 853.36 = 422.20 : x
  2. Step 2: Convert to fraction form
    618.49/853.36 = 422.20/x
  3. Step 3: Cross multiply
    618.49x = 853.36 × 422.20
  4. Step 4: Simplify right side
    618.49x = 360,288.59
  5. Step 5: Solve for x
    x = 360,288.59/618.49
  6. Step 6: Final answer
    x = 582.53

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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.