Home / 1,311.46-1,966.08-580.65

Finding the Fourth Proportional to 1,311.46, 1,966.08 and 580.65

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Solution

The fourth proportional to 1,311.46, 1,966.08 and 580.65 is: 870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.46 : 1,966.08 = 580.65 : x
  2. Step 2: Convert to fraction form
    1,311.46/1,966.08 = 580.65/x
  3. Step 3: Cross multiply
    1,311.46x = 1,966.08 × 580.65
  4. Step 4: Simplify right side
    1,311.46x = 1,141,604.35
  5. Step 5: Solve for x
    x = 1,141,604.35/1,311.46
  6. Step 6: Final answer
    x = 870.48

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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.