Home / 1,311.13-1,966.27-580.69

Finding the Fourth Proportional to 1,311.13, 1,966.27 and 580.69

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Solution

The fourth proportional to 1,311.13, 1,966.27 and 580.69 is: 870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.13 : 1,966.27 = 580.69 : x
  2. Step 2: Convert to fraction form
    1,311.13/1,966.27 = 580.69/x
  3. Step 3: Cross multiply
    1,311.13x = 1,966.27 × 580.69
  4. Step 4: Simplify right side
    1,311.13x = 1,141,793.33
  5. Step 5: Solve for x
    x = 1,141,793.33/1,311.13
  6. Step 6: Final answer
    x = 870.85

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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.