Home / 1,601.29-2,399.10-733.78

Finding the Fourth Proportional to 1,601.29, 2,399.10 and 733.78

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Solution

The fourth proportional to 1,601.29, 2,399.10 and 733.78 is: 1,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.29 : 2,399.10 = 733.78 : x
  2. Step 2: Convert to fraction form
    1,601.29/2,399.10 = 733.78/x
  3. Step 3: Cross multiply
    1,601.29x = 2,399.10 × 733.78
  4. Step 4: Simplify right side
    1,601.29x = 1,760,411.60
  5. Step 5: Solve for x
    x = 1,760,411.60/1,601.29
  6. Step 6: Final answer
    x = 1,099.37

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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.