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Finding the Fourth Proportional to 705.84, 974.26 and 411.30

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Solution

The fourth proportional to 705.84, 974.26 and 411.30 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.84 : 974.26 = 411.30 : x
  2. Step 2: Convert to fraction form
    705.84/974.26 = 411.30/x
  3. Step 3: Cross multiply
    705.84x = 974.26 × 411.30
  4. Step 4: Simplify right side
    705.84x = 400,713.14
  5. Step 5: Solve for x
    x = 400,713.14/705.84
  6. Step 6: Final answer
    x = 567.71

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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.