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Finding the Fourth Proportional to 812.43, 1,212.80 and 776.97

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Solution

The fourth proportional to 812.43, 1,212.80 and 776.97 is: 1,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.43 : 1,212.80 = 776.97 : x
  2. Step 2: Convert to fraction form
    812.43/1,212.80 = 776.97/x
  3. Step 3: Cross multiply
    812.43x = 1,212.80 × 776.97
  4. Step 4: Simplify right side
    812.43x = 942,305.33
  5. Step 5: Solve for x
    x = 942,305.33/812.43
  6. Step 6: Final answer
    x = 1,159.86

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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.