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Finding the Fourth Proportional to 786.56, 1,179.66 and 512.78

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Solution

The fourth proportional to 786.56, 1,179.66 and 512.78 is: 769.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.56 : 1,179.66 = 512.78 : x
  2. Step 2: Convert to fraction form
    786.56/1,179.66 = 512.78/x
  3. Step 3: Cross multiply
    786.56x = 1,179.66 × 512.78
  4. Step 4: Simplify right side
    786.56x = 604,906.05
  5. Step 5: Solve for x
    x = 604,906.05/786.56
  6. Step 6: Final answer
    x = 769.05

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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.