Home / 1,687.34-2,531.19-713.31

Finding the Fourth Proportional to 1,687.34, 2,531.19 and 713.31

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Solution

The fourth proportional to 1,687.34, 2,531.19 and 713.31 is: 1,070.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.34 : 2,531.19 = 713.31 : x
  2. Step 2: Convert to fraction form
    1,687.34/2,531.19 = 713.31/x
  3. Step 3: Cross multiply
    1,687.34x = 2,531.19 × 713.31
  4. Step 4: Simplify right side
    1,687.34x = 1,805,523.14
  5. Step 5: Solve for x
    x = 1,805,523.14/1,687.34
  6. Step 6: Final answer
    x = 1,070.04

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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.