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Finding the Fourth Proportional to 856.82, 1,182.09 and 633.29

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Solution

The fourth proportional to 856.82, 1,182.09 and 633.29 is: 873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.82 : 1,182.09 = 633.29 : x
  2. Step 2: Convert to fraction form
    856.82/1,182.09 = 633.29/x
  3. Step 3: Cross multiply
    856.82x = 1,182.09 × 633.29
  4. Step 4: Simplify right side
    856.82x = 748,609.54
  5. Step 5: Solve for x
    x = 748,609.54/856.82
  6. Step 6: Final answer
    x = 873.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.