Home / 1,176.25-1,764.78-406.75

Finding the Fourth Proportional to 1,176.25, 1,764.78 and 406.75

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Solution

The fourth proportional to 1,176.25, 1,764.78 and 406.75 is: 610.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.25 : 1,764.78 = 406.75 : x
  2. Step 2: Convert to fraction form
    1,176.25/1,764.78 = 406.75/x
  3. Step 3: Cross multiply
    1,176.25x = 1,764.78 × 406.75
  4. Step 4: Simplify right side
    1,176.25x = 717,824.27
  5. Step 5: Solve for x
    x = 717,824.27/1,176.25
  6. Step 6: Final answer
    x = 610.27

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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.