Home / 1,311.06-1,966.07-580.14

Finding the Fourth Proportional to 1,311.06, 1,966.07 and 580.14

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Solution

The fourth proportional to 1,311.06, 1,966.07 and 580.14 is: 869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.06 : 1,966.07 = 580.14 : x
  2. Step 2: Convert to fraction form
    1,311.06/1,966.07 = 580.14/x
  3. Step 3: Cross multiply
    1,311.06x = 1,966.07 × 580.14
  4. Step 4: Simplify right side
    1,311.06x = 1,140,592.95
  5. Step 5: Solve for x
    x = 1,140,592.95/1,311.06
  6. Step 6: Final answer
    x = 869.98

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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.