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Finding the Fourth Proportional to 423.24, 629.31 and 406.84

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Solution

The fourth proportional to 423.24, 629.31 and 406.84 is: 604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.24 : 629.31 = 406.84 : x
  2. Step 2: Convert to fraction form
    423.24/629.31 = 406.84/x
  3. Step 3: Cross multiply
    423.24x = 629.31 × 406.84
  4. Step 4: Simplify right side
    423.24x = 256,028.48
  5. Step 5: Solve for x
    x = 256,028.48/423.24
  6. Step 6: Final answer
    x = 604.93

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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.