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Finding the Fourth Proportional to 1,179.78, 1,768.20 and 747.06

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Solution

The fourth proportional to 1,179.78, 1,768.20 and 747.06 is: 1,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.78 : 1,768.20 = 747.06 : x
  2. Step 2: Convert to fraction form
    1,179.78/1,768.20 = 747.06/x
  3. Step 3: Cross multiply
    1,179.78x = 1,768.20 × 747.06
  4. Step 4: Simplify right side
    1,179.78x = 1,320,951.49
  5. Step 5: Solve for x
    x = 1,320,951.49/1,179.78
  6. Step 6: Final answer
    x = 1,119.66

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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.