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Finding the Fourth Proportional to 629.88, 868.64 and 408.75

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Solution

The fourth proportional to 629.88, 868.64 and 408.75 is: 563.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.88 : 868.64 = 408.75 : x
  2. Step 2: Convert to fraction form
    629.88/868.64 = 408.75/x
  3. Step 3: Cross multiply
    629.88x = 868.64 × 408.75
  4. Step 4: Simplify right side
    629.88x = 355,054.56
  5. Step 5: Solve for x
    x = 355,054.56/629.88
  6. Step 6: Final answer
    x = 563.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.