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Finding the Fourth Proportional to 812.44, 1,121.68 and 563.68

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Solution

The fourth proportional to 812.44, 1,121.68 and 563.68 is: 778.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.44 : 1,121.68 = 563.68 : x
  2. Step 2: Convert to fraction form
    812.44/1,121.68 = 563.68/x
  3. Step 3: Cross multiply
    812.44x = 1,121.68 × 563.68
  4. Step 4: Simplify right side
    812.44x = 632,268.58
  5. Step 5: Solve for x
    x = 632,268.58/812.44
  6. Step 6: Final answer
    x = 778.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.