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Finding the Fourth Proportional to 422.44, 582.18 and 409.96

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Solution

The fourth proportional to 422.44, 582.18 and 409.96 is: 564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.44 : 582.18 = 409.96 : x
  2. Step 2: Convert to fraction form
    422.44/582.18 = 409.96/x
  3. Step 3: Cross multiply
    422.44x = 582.18 × 409.96
  4. Step 4: Simplify right side
    422.44x = 238,670.51
  5. Step 5: Solve for x
    x = 238,670.51/422.44
  6. Step 6: Final answer
    x = 564.98

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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.