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Finding the Fourth Proportional to 705.92, 974.14 and 391.19

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Solution

The fourth proportional to 705.92, 974.14 and 391.19 is: 539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.92 : 974.14 = 391.19 : x
  2. Step 2: Convert to fraction form
    705.92/974.14 = 391.19/x
  3. Step 3: Cross multiply
    705.92x = 974.14 × 391.19
  4. Step 4: Simplify right side
    705.92x = 381,075.38
  5. Step 5: Solve for x
    x = 381,075.38/705.92
  6. Step 6: Final answer
    x = 539.83

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Double scale
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1.5x scale

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.