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Finding the Fourth Proportional to 706.05, 974.01 and 411.21

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Solution

The fourth proportional to 706.05, 974.01 and 411.21 is: 567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 974.01 = 411.21 : x
  2. Step 2: Convert to fraction form
    706.05/974.01 = 411.21/x
  3. Step 3: Cross multiply
    706.05x = 974.01 × 411.21
  4. Step 4: Simplify right side
    706.05x = 400,520.60
  5. Step 5: Solve for x
    x = 400,520.60/706.05
  6. Step 6: Final answer
    x = 567.27

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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.