Home / 1,177.29-1,765.76-311.60

Finding the Fourth Proportional to 1,177.29, 1,765.76 and 311.60

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Solution

The fourth proportional to 1,177.29, 1,765.76 and 311.60 is: 467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.29 : 1,765.76 = 311.60 : x
  2. Step 2: Convert to fraction form
    1,177.29/1,765.76 = 311.60/x
  3. Step 3: Cross multiply
    1,177.29x = 1,765.76 × 311.60
  4. Step 4: Simplify right side
    1,177.29x = 550,200.43
  5. Step 5: Solve for x
    x = 550,200.43/1,177.29
  6. Step 6: Final answer
    x = 467.34

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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.