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Finding the Fourth Proportional to 419.78, 629.63 and 329.57

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Solution

The fourth proportional to 419.78, 629.63 and 329.57 is: 494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.78 : 629.63 = 329.57 : x
  2. Step 2: Convert to fraction form
    419.78/629.63 = 329.57/x
  3. Step 3: Cross multiply
    419.78x = 629.63 × 329.57
  4. Step 4: Simplify right side
    419.78x = 207,502.36
  5. Step 5: Solve for x
    x = 207,502.36/419.78
  6. Step 6: Final answer
    x = 494.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.