Home / 1,177.45-1,766.18-311.75

Finding the Fourth Proportional to 1,177.45, 1,766.18 and 311.75

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Solution

The fourth proportional to 1,177.45, 1,766.18 and 311.75 is: 467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.45 : 1,766.18 = 311.75 : x
  2. Step 2: Convert to fraction form
    1,177.45/1,766.18 = 311.75/x
  3. Step 3: Cross multiply
    1,177.45x = 1,766.18 × 311.75
  4. Step 4: Simplify right side
    1,177.45x = 550,606.62
  5. Step 5: Solve for x
    x = 550,606.62/1,177.45
  6. Step 6: Final answer
    x = 467.63

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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.