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Finding the Fourth Proportional to 422.75, 582.13 and 398.09

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Solution

The fourth proportional to 422.75, 582.13 and 398.09 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.75 : 582.13 = 398.09 : x
  2. Step 2: Convert to fraction form
    422.75/582.13 = 398.09/x
  3. Step 3: Cross multiply
    422.75x = 582.13 × 398.09
  4. Step 4: Simplify right side
    422.75x = 231,739.85
  5. Step 5: Solve for x
    x = 231,739.85/422.75
  6. Step 6: Final answer
    x = 548.17

Related Problems

Find fourth proportional to 211.38, 291.06 and 199.05
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Double scale
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Similar ratio
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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.