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Finding the Fourth Proportional to 705.91, 974.07 and 391.15

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Solution

The fourth proportional to 705.91, 974.07 and 391.15 is: 539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.91 : 974.07 = 391.15 : x
  2. Step 2: Convert to fraction form
    705.91/974.07 = 391.15/x
  3. Step 3: Cross multiply
    705.91x = 974.07 × 391.15
  4. Step 4: Simplify right side
    705.91x = 381,007.48
  5. Step 5: Solve for x
    x = 381,007.48/705.91
  6. Step 6: Final answer
    x = 539.74

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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.