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Finding the Fourth Proportional to 709.67, 979.34 and 394.92

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Solution

The fourth proportional to 709.67, 979.34 and 394.92 is: 544.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.67 : 979.34 = 394.92 : x
  2. Step 2: Convert to fraction form
    709.67/979.34 = 394.92/x
  3. Step 3: Cross multiply
    709.67x = 979.34 × 394.92
  4. Step 4: Simplify right side
    709.67x = 386,758.98
  5. Step 5: Solve for x
    x = 386,758.98/709.67
  6. Step 6: Final answer
    x = 544.99

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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.