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Finding the Fourth Proportional to 856.29, 1,178.78 and 634.83

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Solution

The fourth proportional to 856.29, 1,178.78 and 634.83 is: 873.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.29 : 1,178.78 = 634.83 : x
  2. Step 2: Convert to fraction form
    856.29/1,178.78 = 634.83/x
  3. Step 3: Cross multiply
    856.29x = 1,178.78 × 634.83
  4. Step 4: Simplify right side
    856.29x = 748,324.91
  5. Step 5: Solve for x
    x = 748,324.91/856.29
  6. Step 6: Final answer
    x = 873.92

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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.