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Finding the Fourth Proportional to 629, 868.08 and 396.08

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Solution

The fourth proportional to 629, 868.08 and 396.08 is: 546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    629 : 868.08 = 396.08 : x
  2. Step 2: Convert to fraction form
    629/868.08 = 396.08/x
  3. Step 3: Cross multiply
    629x = 868.08 × 396.08
  4. Step 4: Simplify right side
    629x = 343,829.13
  5. Step 5: Solve for x
    x = 343,829.13/629
  6. Step 6: Final answer
    x = 546.63

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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.