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Finding the Fourth Proportional to 856.20, 1,282.38 and 837.96

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Solution

The fourth proportional to 856.20, 1,282.38 and 837.96 is: 1,255.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.20 : 1,282.38 = 837.96 : x
  2. Step 2: Convert to fraction form
    856.20/1,282.38 = 837.96/x
  3. Step 3: Cross multiply
    856.20x = 1,282.38 × 837.96
  4. Step 4: Simplify right side
    856.20x = 1,074,583.14
  5. Step 5: Solve for x
    x = 1,074,583.14/856.20
  6. Step 6: Final answer
    x = 1,255.06

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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.