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Finding the Fourth Proportional to 911.97, 1,362.42 and 766.17

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Solution

The fourth proportional to 911.97, 1,362.42 and 766.17 is: 1,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.97 : 1,362.42 = 766.17 : x
  2. Step 2: Convert to fraction form
    911.97/1,362.42 = 766.17/x
  3. Step 3: Cross multiply
    911.97x = 1,362.42 × 766.17
  4. Step 4: Simplify right side
    911.97x = 1,043,845.33
  5. Step 5: Solve for x
    x = 1,043,845.33/911.97
  6. Step 6: Final answer
    x = 1,144.60

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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.