Home / 1,311.14-1,966.83-445.52

Finding the Fourth Proportional to 1,311.14, 1,966.83 and 445.52

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Solution

The fourth proportional to 1,311.14, 1,966.83 and 445.52 is: 668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.14 : 1,966.83 = 445.52 : x
  2. Step 2: Convert to fraction form
    1,311.14/1,966.83 = 445.52/x
  3. Step 3: Cross multiply
    1,311.14x = 1,966.83 × 445.52
  4. Step 4: Simplify right side
    1,311.14x = 876,262.10
  5. Step 5: Solve for x
    x = 876,262.10/1,311.14
  6. Step 6: Final answer
    x = 668.32

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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.