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Finding the Fourth Proportional to 804.01, 1,102.28 and 789.43

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Solution

The fourth proportional to 804.01, 1,102.28 and 789.43 is: 1,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.01 : 1,102.28 = 789.43 : x
  2. Step 2: Convert to fraction form
    804.01/1,102.28 = 789.43/x
  3. Step 3: Cross multiply
    804.01x = 1,102.28 × 789.43
  4. Step 4: Simplify right side
    804.01x = 870,172.90
  5. Step 5: Solve for x
    x = 870,172.90/804.01
  6. Step 6: Final answer
    x = 1,082.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.