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Finding the Fourth Proportional to 422.24, 627.82 and 405.84

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Solution

The fourth proportional to 422.24, 627.82 and 405.84 is: 603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 627.82 = 405.84 : x
  2. Step 2: Convert to fraction form
    422.24/627.82 = 405.84/x
  3. Step 3: Cross multiply
    422.24x = 627.82 × 405.84
  4. Step 4: Simplify right side
    422.24x = 254,794.47
  5. Step 5: Solve for x
    x = 254,794.47/422.24
  6. Step 6: Final answer
    x = 603.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.