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Finding the Fourth Proportional to 709.29, 978.83 and 394.54

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Solution

The fourth proportional to 709.29, 978.83 and 394.54 is: 544.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.29 : 978.83 = 394.54 : x
  2. Step 2: Convert to fraction form
    709.29/978.83 = 394.54/x
  3. Step 3: Cross multiply
    709.29x = 978.83 × 394.54
  4. Step 4: Simplify right side
    709.29x = 386,187.59
  5. Step 5: Solve for x
    x = 386,187.59/709.29
  6. Step 6: Final answer
    x = 544.47

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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.