Home / 1,687.56-2,531.41-517.48

Finding the Fourth Proportional to 1,687.56, 2,531.41 and 517.48

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Solution

The fourth proportional to 1,687.56, 2,531.41 and 517.48 is: 776.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.56 : 2,531.41 = 517.48 : x
  2. Step 2: Convert to fraction form
    1,687.56/2,531.41 = 517.48/x
  3. Step 3: Cross multiply
    1,687.56x = 2,531.41 × 517.48
  4. Step 4: Simplify right side
    1,687.56x = 1,309,942.68
  5. Step 5: Solve for x
    x = 1,309,942.68/1,687.56
  6. Step 6: Final answer
    x = 776.24

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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.