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Finding the Fourth Proportional to 1,202.31, 1,804.59 and 741

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Solution

The fourth proportional to 1,202.31, 1,804.59 and 741 is: 1,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.31 : 1,804.59 = 741 : x
  2. Step 2: Convert to fraction form
    1,202.31/1,804.59 = 741/x
  3. Step 3: Cross multiply
    1,202.31x = 1,804.59 × 741
  4. Step 4: Simplify right side
    1,202.31x = 1,337,201.19
  5. Step 5: Solve for x
    x = 1,337,201.19/1,202.31
  6. Step 6: Final answer
    x = 1,112.19

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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.