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Finding the Fourth Proportional to 684.11, 943.85 and 422.09

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Solution

The fourth proportional to 684.11, 943.85 and 422.09 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.11 : 943.85 = 422.09 : x
  2. Step 2: Convert to fraction form
    684.11/943.85 = 422.09/x
  3. Step 3: Cross multiply
    684.11x = 943.85 × 422.09
  4. Step 4: Simplify right side
    684.11x = 398,387.54
  5. Step 5: Solve for x
    x = 398,387.54/684.11
  6. Step 6: Final answer
    x = 582.34

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Half scale
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Double scale
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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.