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Finding the Fourth Proportional to 618.64, 853.92 and 422.08

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Solution

The fourth proportional to 618.64, 853.92 and 422.08 is: 582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.64 : 853.92 = 422.08 : x
  2. Step 2: Convert to fraction form
    618.64/853.92 = 422.08/x
  3. Step 3: Cross multiply
    618.64x = 853.92 × 422.08
  4. Step 4: Simplify right side
    618.64x = 360,422.55
  5. Step 5: Solve for x
    x = 360,422.55/618.64
  6. Step 6: Final answer
    x = 582.60

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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.