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Finding the Fourth Proportional to 971.22, 1,446.81 and 911.46

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Solution

The fourth proportional to 971.22, 1,446.81 and 911.46 is: 1,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,446.81 = 911.46 : x
  2. Step 2: Convert to fraction form
    971.22/1,446.81 = 911.46/x
  3. Step 3: Cross multiply
    971.22x = 1,446.81 × 911.46
  4. Step 4: Simplify right side
    971.22x = 1,318,709.44
  5. Step 5: Solve for x
    x = 1,318,709.44/971.22
  6. Step 6: Final answer
    x = 1,357.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.