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Finding the Fourth Proportional to 812.09, 1,121.18 and 777.26

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Solution

The fourth proportional to 812.09, 1,121.18 and 777.26 is: 1,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.09 : 1,121.18 = 777.26 : x
  2. Step 2: Convert to fraction form
    812.09/1,121.18 = 777.26/x
  3. Step 3: Cross multiply
    812.09x = 1,121.18 × 777.26
  4. Step 4: Simplify right side
    812.09x = 871,447.28
  5. Step 5: Solve for x
    x = 871,447.28/812.09
  6. Step 6: Final answer
    x = 1,073.09

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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.