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Finding the Fourth Proportional to 856.89, 1,286.15 and 622.87

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Solution

The fourth proportional to 856.89, 1,286.15 and 622.87 is: 934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.89 : 1,286.15 = 622.87 : x
  2. Step 2: Convert to fraction form
    856.89/1,286.15 = 622.87/x
  3. Step 3: Cross multiply
    856.89x = 1,286.15 × 622.87
  4. Step 4: Simplify right side
    856.89x = 801,097.92
  5. Step 5: Solve for x
    x = 801,097.92/856.89
  6. Step 6: Final answer
    x = 934.89

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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.