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Finding the Fourth Proportional to 856.89, 1,286.06 and 686.97

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Solution

The fourth proportional to 856.89, 1,286.06 and 686.97 is: 1,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.89 : 1,286.06 = 686.97 : x
  2. Step 2: Convert to fraction form
    856.89/1,286.06 = 686.97/x
  3. Step 3: Cross multiply
    856.89x = 1,286.06 × 686.97
  4. Step 4: Simplify right side
    856.89x = 883,481.20
  5. Step 5: Solve for x
    x = 883,481.20/856.89
  6. Step 6: Final answer
    x = 1,031.03

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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.