Home / 1,688.12-2,531.16-713.68

Finding the Fourth Proportional to 1,688.12, 2,531.16 and 713.68

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Solution

The fourth proportional to 1,688.12, 2,531.16 and 713.68 is: 1,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.12 : 2,531.16 = 713.68 : x
  2. Step 2: Convert to fraction form
    1,688.12/2,531.16 = 713.68/x
  3. Step 3: Cross multiply
    1,688.12x = 2,531.16 × 713.68
  4. Step 4: Simplify right side
    1,688.12x = 1,806,438.27
  5. Step 5: Solve for x
    x = 1,806,438.27/1,688.12
  6. Step 6: Final answer
    x = 1,070.09

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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.