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Finding the Fourth Proportional to 1,202.54, 1,800.97 and 762.26

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Solution

The fourth proportional to 1,202.54, 1,800.97 and 762.26 is: 1,141.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.54 : 1,800.97 = 762.26 : x
  2. Step 2: Convert to fraction form
    1,202.54/1,800.97 = 762.26/x
  3. Step 3: Cross multiply
    1,202.54x = 1,800.97 × 762.26
  4. Step 4: Simplify right side
    1,202.54x = 1,372,796.48
  5. Step 5: Solve for x
    x = 1,372,796.48/1,202.54
  6. Step 6: Final answer
    x = 1,141.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.