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Finding the Fourth Proportional to 422.98, 629.48 and 409.48

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Solution

The fourth proportional to 422.98, 629.48 and 409.48 is: 609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.98 : 629.48 = 409.48 : x
  2. Step 2: Convert to fraction form
    422.98/629.48 = 409.48/x
  3. Step 3: Cross multiply
    422.98x = 629.48 × 409.48
  4. Step 4: Simplify right side
    422.98x = 257,759.47
  5. Step 5: Solve for x
    x = 257,759.47/422.98
  6. Step 6: Final answer
    x = 609.39

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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.