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Finding the Fourth Proportional to 709.41, 979.14 and 394.78

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Solution

The fourth proportional to 709.41, 979.14 and 394.78 is: 544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 979.14 = 394.78 : x
  2. Step 2: Convert to fraction form
    709.41/979.14 = 394.78/x
  3. Step 3: Cross multiply
    709.41x = 979.14 × 394.78
  4. Step 4: Simplify right side
    709.41x = 386,540.96
  5. Step 5: Solve for x
    x = 386,540.96/709.41
  6. Step 6: Final answer
    x = 544.88

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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.