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Finding the Fourth Proportional to 629.21, 868.42 and 470.49

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Solution

The fourth proportional to 629.21, 868.42 and 470.49 is: 649.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.21 : 868.42 = 470.49 : x
  2. Step 2: Convert to fraction form
    629.21/868.42 = 470.49/x
  3. Step 3: Cross multiply
    629.21x = 868.42 × 470.49
  4. Step 4: Simplify right side
    629.21x = 408,585.58
  5. Step 5: Solve for x
    x = 408,585.58/629.21
  6. Step 6: Final answer
    x = 649.36

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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.