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Finding the Fourth Proportional to 856.56, 1,179.68 and 796.08

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Solution

The fourth proportional to 856.56, 1,179.68 and 796.08 is: 1,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.56 : 1,179.68 = 796.08 : x
  2. Step 2: Convert to fraction form
    856.56/1,179.68 = 796.08/x
  3. Step 3: Cross multiply
    856.56x = 1,179.68 × 796.08
  4. Step 4: Simplify right side
    856.56x = 939,119.65
  5. Step 5: Solve for x
    x = 939,119.65/856.56
  6. Step 6: Final answer
    x = 1,096.39

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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.