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Finding the Fourth Proportional to 422.76, 629.64 and 408.36

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Solution

The fourth proportional to 422.76, 629.64 and 408.36 is: 608.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.76 : 629.64 = 408.36 : x
  2. Step 2: Convert to fraction form
    422.76/629.64 = 408.36/x
  3. Step 3: Cross multiply
    422.76x = 629.64 × 408.36
  4. Step 4: Simplify right side
    422.76x = 257,119.79
  5. Step 5: Solve for x
    x = 257,119.79/422.76
  6. Step 6: Final answer
    x = 608.19

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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.