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Finding the Fourth Proportional to 804.36, 1,201.42 and 641.54

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Solution

The fourth proportional to 804.36, 1,201.42 and 641.54 is: 958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.36 : 1,201.42 = 641.54 : x
  2. Step 2: Convert to fraction form
    804.36/1,201.42 = 641.54/x
  3. Step 3: Cross multiply
    804.36x = 1,201.42 × 641.54
  4. Step 4: Simplify right side
    804.36x = 770,758.99
  5. Step 5: Solve for x
    x = 770,758.99/804.36
  6. Step 6: Final answer
    x = 958.23

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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.