Home / 1,231.28-1,846.88-409.56

Finding the Fourth Proportional to 1,231.28, 1,846.88 and 409.56

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Solution

The fourth proportional to 1,231.28, 1,846.88 and 409.56 is: 614.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.28 : 1,846.88 = 409.56 : x
  2. Step 2: Convert to fraction form
    1,231.28/1,846.88 = 409.56/x
  3. Step 3: Cross multiply
    1,231.28x = 1,846.88 × 409.56
  4. Step 4: Simplify right side
    1,231.28x = 756,406.13
  5. Step 5: Solve for x
    x = 756,406.13/1,231.28
  6. Step 6: Final answer
    x = 614.33

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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.