Home / 1,177.60-1,766.28-311.92

Finding the Fourth Proportional to 1,177.60, 1,766.28 and 311.92

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Solution

The fourth proportional to 1,177.60, 1,766.28 and 311.92 is: 467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.60 : 1,766.28 = 311.92 : x
  2. Step 2: Convert to fraction form
    1,177.60/1,766.28 = 311.92/x
  3. Step 3: Cross multiply
    1,177.60x = 1,766.28 × 311.92
  4. Step 4: Simplify right side
    1,177.60x = 550,938.06
  5. Step 5: Solve for x
    x = 550,938.06/1,177.60
  6. Step 6: Final answer
    x = 467.85

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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.