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Finding the Fourth Proportional to 706.21, 974.14 and 411.43

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Solution

The fourth proportional to 706.21, 974.14 and 411.43 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.21 : 974.14 = 411.43 : x
  2. Step 2: Convert to fraction form
    706.21/974.14 = 411.43/x
  3. Step 3: Cross multiply
    706.21x = 974.14 × 411.43
  4. Step 4: Simplify right side
    706.21x = 400,790.42
  5. Step 5: Solve for x
    x = 400,790.42/706.21
  6. Step 6: Final answer
    x = 567.52

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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.