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Finding the Fourth Proportional to 618.48, 853.47 and 422.04

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Solution

The fourth proportional to 618.48, 853.47 and 422.04 is: 582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 853.47 = 422.04 : x
  2. Step 2: Convert to fraction form
    618.48/853.47 = 422.04/x
  3. Step 3: Cross multiply
    618.48x = 853.47 × 422.04
  4. Step 4: Simplify right side
    618.48x = 360,198.48
  5. Step 5: Solve for x
    x = 360,198.48/618.48
  6. Step 6: Final answer
    x = 582.39

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1.5x scale

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.