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Finding the Fourth Proportional to 706.06, 974.43 and 411.22

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Solution

The fourth proportional to 706.06, 974.43 and 411.22 is: 567.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 974.43 = 411.22 : x
  2. Step 2: Convert to fraction form
    706.06/974.43 = 411.22/x
  3. Step 3: Cross multiply
    706.06x = 974.43 × 411.22
  4. Step 4: Simplify right side
    706.06x = 400,705.10
  5. Step 5: Solve for x
    x = 400,705.10/706.06
  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.