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Finding the Fourth Proportional to 629.27, 942.67 and 412.19

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Solution

The fourth proportional to 629.27, 942.67 and 412.19 is: 617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.27 : 942.67 = 412.19 : x
  2. Step 2: Convert to fraction form
    629.27/942.67 = 412.19/x
  3. Step 3: Cross multiply
    629.27x = 942.67 × 412.19
  4. Step 4: Simplify right side
    629.27x = 388,559.15
  5. Step 5: Solve for x
    x = 388,559.15/629.27
  6. Step 6: Final answer
    x = 617.48

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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.