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Finding the Fourth Proportional to 911.52, 1,366.56 and 812.88

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Solution

The fourth proportional to 911.52, 1,366.56 and 812.88 is: 1,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.52 : 1,366.56 = 812.88 : x
  2. Step 2: Convert to fraction form
    911.52/1,366.56 = 812.88/x
  3. Step 3: Cross multiply
    911.52x = 1,366.56 × 812.88
  4. Step 4: Simplify right side
    911.52x = 1,110,849.29
  5. Step 5: Solve for x
    x = 1,110,849.29/911.52
  6. Step 6: Final answer
    x = 1,218.68

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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.