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Finding the Fourth Proportional to 856.72, 1,286.30 and 817.57

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Solution

The fourth proportional to 856.72, 1,286.30 and 817.57 is: 1,227.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.72 : 1,286.30 = 817.57 : x
  2. Step 2: Convert to fraction form
    856.72/1,286.30 = 817.57/x
  3. Step 3: Cross multiply
    856.72x = 1,286.30 × 817.57
  4. Step 4: Simplify right side
    856.72x = 1,051,640.29
  5. Step 5: Solve for x
    x = 1,051,640.29/856.72
  6. Step 6: Final answer
    x = 1,227.52

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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.