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Finding the Fourth Proportional to 422.48, 629.48 and 403.84

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Solution

The fourth proportional to 422.48, 629.48 and 403.84 is: 601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 629.48 = 403.84 : x
  2. Step 2: Convert to fraction form
    422.48/629.48 = 403.84/x
  3. Step 3: Cross multiply
    422.48x = 629.48 × 403.84
  4. Step 4: Simplify right side
    422.48x = 254,209.20
  5. Step 5: Solve for x
    x = 254,209.20/422.48
  6. Step 6: Final answer
    x = 601.71

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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.