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Finding the Fourth Proportional to 618.11, 853.29 and 422.64

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Solution

The fourth proportional to 618.11, 853.29 and 422.64 is: 583.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.11 : 853.29 = 422.64 : x
  2. Step 2: Convert to fraction form
    618.11/853.29 = 422.64/x
  3. Step 3: Cross multiply
    618.11x = 853.29 × 422.64
  4. Step 4: Simplify right side
    618.11x = 360,634.49
  5. Step 5: Solve for x
    x = 360,634.49/618.11
  6. Step 6: Final answer
    x = 583.45

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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.