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Finding the Fourth Proportional to 629.57, 942.97 and 446.40

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Solution

The fourth proportional to 629.57, 942.97 and 446.40 is: 668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.57 : 942.97 = 446.40 : x
  2. Step 2: Convert to fraction form
    629.57/942.97 = 446.40/x
  3. Step 3: Cross multiply
    629.57x = 942.97 × 446.40
  4. Step 4: Simplify right side
    629.57x = 420,944.23
  5. Step 5: Solve for x
    x = 420,944.23/629.57
  6. Step 6: Final answer
    x = 668.63

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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.