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Finding the Fourth Proportional to 422.21, 578.41 and 406.64

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Solution

The fourth proportional to 422.21, 578.41 and 406.64 is: 557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 578.41 = 406.64 : x
  2. Step 2: Convert to fraction form
    422.21/578.41 = 406.64/x
  3. Step 3: Cross multiply
    422.21x = 578.41 × 406.64
  4. Step 4: Simplify right side
    422.21x = 235,204.64
  5. Step 5: Solve for x
    x = 235,204.64/422.21
  6. Step 6: Final answer
    x = 557.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.