Home / 1,224.20-1,687.78-961.16

Finding the Fourth Proportional to 1,224.20, 1,687.78 and 961.16

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Solution

The fourth proportional to 1,224.20, 1,687.78 and 961.16 is: 1,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.20 : 1,687.78 = 961.16 : x
  2. Step 2: Convert to fraction form
    1,224.20/1,687.78 = 961.16/x
  3. Step 3: Cross multiply
    1,224.20x = 1,687.78 × 961.16
  4. Step 4: Simplify right side
    1,224.20x = 1,622,226.62
  5. Step 5: Solve for x
    x = 1,622,226.62/1,224.20
  6. Step 6: Final answer
    x = 1,325.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.