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Finding the Fourth Proportional to 705.82, 974.02 and 391.10

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Solution

The fourth proportional to 705.82, 974.02 and 391.10 is: 539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.82 : 974.02 = 391.10 : x
  2. Step 2: Convert to fraction form
    705.82/974.02 = 391.10/x
  3. Step 3: Cross multiply
    705.82x = 974.02 × 391.10
  4. Step 4: Simplify right side
    705.82x = 380,939.22
  5. Step 5: Solve for x
    x = 380,939.22/705.82
  6. Step 6: Final answer
    x = 539.71

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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.