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Finding the Fourth Proportional to 701.36, 967.86 and 394.38

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Solution

The fourth proportional to 701.36, 967.86 and 394.38 is: 544.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.36 : 967.86 = 394.38 : x
  2. Step 2: Convert to fraction form
    701.36/967.86 = 394.38/x
  3. Step 3: Cross multiply
    701.36x = 967.86 × 394.38
  4. Step 4: Simplify right side
    701.36x = 381,704.63
  5. Step 5: Solve for x
    x = 381,704.63/701.36
  6. Step 6: Final answer
    x = 544.23

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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.