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Finding the Fourth Proportional to 812.72, 1,120.38 and 563.66

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Solution

The fourth proportional to 812.72, 1,120.38 and 563.66 is: 777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.72 : 1,120.38 = 563.66 : x
  2. Step 2: Convert to fraction form
    812.72/1,120.38 = 563.66/x
  3. Step 3: Cross multiply
    812.72x = 1,120.38 × 563.66
  4. Step 4: Simplify right side
    812.72x = 631,513.39
  5. Step 5: Solve for x
    x = 631,513.39/812.72
  6. Step 6: Final answer
    x = 777.04

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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.