Home / 1,232.25-1,849.19-462.75

Finding the Fourth Proportional to 1,232.25, 1,849.19 and 462.75

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Solution

The fourth proportional to 1,232.25, 1,849.19 and 462.75 is: 694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.25 : 1,849.19 = 462.75 : x
  2. Step 2: Convert to fraction form
    1,232.25/1,849.19 = 462.75/x
  3. Step 3: Cross multiply
    1,232.25x = 1,849.19 × 462.75
  4. Step 4: Simplify right side
    1,232.25x = 855,710.36
  5. Step 5: Solve for x
    x = 855,710.36/1,232.25
  6. Step 6: Final answer
    x = 694.43

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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.