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Finding the Fourth Proportional to 1,176.92, 1,765.38 and 786.56

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Solution

The fourth proportional to 1,176.92, 1,765.38 and 786.56 is: 1,179.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.92 : 1,765.38 = 786.56 : x
  2. Step 2: Convert to fraction form
    1,176.92/1,765.38 = 786.56/x
  3. Step 3: Cross multiply
    1,176.92x = 1,765.38 × 786.56
  4. Step 4: Simplify right side
    1,176.92x = 1,388,577.29
  5. Step 5: Solve for x
    x = 1,388,577.29/1,176.92
  6. Step 6: Final answer
    x = 1,179.84

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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.