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Finding the Fourth Proportional to 618.87, 853.08 and 422.04

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Solution

The fourth proportional to 618.87, 853.08 and 422.04 is: 581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.87 : 853.08 = 422.04 : x
  2. Step 2: Convert to fraction form
    618.87/853.08 = 422.04/x
  3. Step 3: Cross multiply
    618.87x = 853.08 × 422.04
  4. Step 4: Simplify right side
    618.87x = 360,033.88
  5. Step 5: Solve for x
    x = 360,033.88/618.87
  6. Step 6: Final answer
    x = 581.76

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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.