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Finding the Fourth Proportional to 911.75, 1,364.79 and 882.59

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Solution

The fourth proportional to 911.75, 1,364.79 and 882.59 is: 1,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.75 : 1,364.79 = 882.59 : x
  2. Step 2: Convert to fraction form
    911.75/1,364.79 = 882.59/x
  3. Step 3: Cross multiply
    911.75x = 1,364.79 × 882.59
  4. Step 4: Simplify right side
    911.75x = 1,204,550.01
  5. Step 5: Solve for x
    x = 1,204,550.01/911.75
  6. Step 6: Final answer
    x = 1,321.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.