Home / 1,311.41-1,965.90-580.16

Finding the Fourth Proportional to 1,311.41, 1,965.90 and 580.16

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Solution

The fourth proportional to 1,311.41, 1,965.90 and 580.16 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.41 : 1,965.90 = 580.16 : x
  2. Step 2: Convert to fraction form
    1,311.41/1,965.90 = 580.16/x
  3. Step 3: Cross multiply
    1,311.41x = 1,965.90 × 580.16
  4. Step 4: Simplify right side
    1,311.41x = 1,140,536.54
  5. Step 5: Solve for x
    x = 1,140,536.54/1,311.41
  6. Step 6: Final answer
    x = 869.70

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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.