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Finding the Fourth Proportional to 856.52, 1,286.95 and 821.93

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Solution

The fourth proportional to 856.52, 1,286.95 and 821.93 is: 1,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.52 : 1,286.95 = 821.93 : x
  2. Step 2: Convert to fraction form
    856.52/1,286.95 = 821.93/x
  3. Step 3: Cross multiply
    856.52x = 1,286.95 × 821.93
  4. Step 4: Simplify right side
    856.52x = 1,057,777.41
  5. Step 5: Solve for x
    x = 1,057,777.41/856.52
  6. Step 6: Final answer
    x = 1,234.97

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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.