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Finding the Fourth Proportional to 629.29, 868.21 and 360.06

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Solution

The fourth proportional to 629.29, 868.21 and 360.06 is: 496.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.29 : 868.21 = 360.06 : x
  2. Step 2: Convert to fraction form
    629.29/868.21 = 360.06/x
  3. Step 3: Cross multiply
    629.29x = 868.21 × 360.06
  4. Step 4: Simplify right side
    629.29x = 312,607.69
  5. Step 5: Solve for x
    x = 312,607.69/629.29
  6. Step 6: Final answer
    x = 496.76

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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.