Home / 1,687.20-2,325.64-1,022.80

Finding the Fourth Proportional to 1,687.20, 2,325.64 and 1,022.80

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Solution

The fourth proportional to 1,687.20, 2,325.64 and 1,022.80 is: 1,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.20 : 2,325.64 = 1,022.80 : x
  2. Step 2: Convert to fraction form
    1,687.20/2,325.64 = 1,022.80/x
  3. Step 3: Cross multiply
    1,687.20x = 2,325.64 × 1,022.80
  4. Step 4: Simplify right side
    1,687.20x = 2,378,664.59
  5. Step 5: Solve for x
    x = 2,378,664.59/1,687.20
  6. Step 6: Final answer
    x = 1,409.83

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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.