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Finding the Fourth Proportional to 706.10, 974.22 and 411.38

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Solution

The fourth proportional to 706.10, 974.22 and 411.38 is: 567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.10 : 974.22 = 411.38 : x
  2. Step 2: Convert to fraction form
    706.10/974.22 = 411.38/x
  3. Step 3: Cross multiply
    706.10x = 974.22 × 411.38
  4. Step 4: Simplify right side
    706.10x = 400,774.62
  5. Step 5: Solve for x
    x = 400,774.62/706.10
  6. Step 6: Final answer
    x = 567.59

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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.