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Finding the Fourth Proportional to 629.38, 942.69 and 446.21

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Solution

The fourth proportional to 629.38, 942.69 and 446.21 is: 668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.38 : 942.69 = 446.21 : x
  2. Step 2: Convert to fraction form
    629.38/942.69 = 446.21/x
  3. Step 3: Cross multiply
    629.38x = 942.69 × 446.21
  4. Step 4: Simplify right side
    629.38x = 420,640.99
  5. Step 5: Solve for x
    x = 420,640.99/629.38
  6. Step 6: Final answer
    x = 668.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.