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Finding the Fourth Proportional to 422.59, 629.76 and 418.49

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Solution

The fourth proportional to 422.59, 629.76 and 418.49 is: 623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.59 : 629.76 = 418.49 : x
  2. Step 2: Convert to fraction form
    422.59/629.76 = 418.49/x
  3. Step 3: Cross multiply
    422.59x = 629.76 × 418.49
  4. Step 4: Simplify right side
    422.59x = 263,548.26
  5. Step 5: Solve for x
    x = 263,548.26/422.59
  6. Step 6: Final answer
    x = 623.65

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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.