Home / 686.03-1,029.14-275.21

Finding the Fourth Proportional to 686.03, 1,029.14 and 275.21

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Solution

The fourth proportional to 686.03, 1,029.14 and 275.21 is: 412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.03 : 1,029.14 = 275.21 : x
  2. Step 2: Convert to fraction form
    686.03/1,029.14 = 275.21/x
  3. Step 3: Cross multiply
    686.03x = 1,029.14 × 275.21
  4. Step 4: Simplify right side
    686.03x = 283,229.62
  5. Step 5: Solve for x
    x = 283,229.62/686.03
  6. Step 6: Final answer
    x = 412.85

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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.