Home / 1,177.56-1,766.38-311.88

Finding the Fourth Proportional to 1,177.56, 1,766.38 and 311.88

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Solution

The fourth proportional to 1,177.56, 1,766.38 and 311.88 is: 467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.56 : 1,766.38 = 311.88 : x
  2. Step 2: Convert to fraction form
    1,177.56/1,766.38 = 311.88/x
  3. Step 3: Cross multiply
    1,177.56x = 1,766.38 × 311.88
  4. Step 4: Simplify right side
    1,177.56x = 550,888.98
  5. Step 5: Solve for x
    x = 550,888.98/1,177.56
  6. Step 6: Final answer
    x = 467.82

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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.