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Finding the Fourth Proportional to 1,172.78, 1,758.81 and 441.96

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Solution

The fourth proportional to 1,172.78, 1,758.81 and 441.96 is: 662.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.78 : 1,758.81 = 441.96 : x
  2. Step 2: Convert to fraction form
    1,172.78/1,758.81 = 441.96/x
  3. Step 3: Cross multiply
    1,172.78x = 1,758.81 × 441.96
  4. Step 4: Simplify right side
    1,172.78x = 777,318.73
  5. Step 5: Solve for x
    x = 777,318.73/1,172.78
  6. Step 6: Final answer
    x = 662.80

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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.