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Finding the Fourth Proportional to 422.25, 582.78 and 403.80

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Solution

The fourth proportional to 422.25, 582.78 and 403.80 is: 557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 582.78 = 403.80 : x
  2. Step 2: Convert to fraction form
    422.25/582.78 = 403.80/x
  3. Step 3: Cross multiply
    422.25x = 582.78 × 403.80
  4. Step 4: Simplify right side
    422.25x = 235,326.56
  5. Step 5: Solve for x
    x = 235,326.56/422.25
  6. Step 6: Final answer
    x = 557.32

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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.