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Finding the Fourth Proportional to 1,138.36, 1,706.79 and 445.11

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Solution

The fourth proportional to 1,138.36, 1,706.79 and 445.11 is: 667.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.36 : 1,706.79 = 445.11 : x
  2. Step 2: Convert to fraction form
    1,138.36/1,706.79 = 445.11/x
  3. Step 3: Cross multiply
    1,138.36x = 1,706.79 × 445.11
  4. Step 4: Simplify right side
    1,138.36x = 759,709.30
  5. Step 5: Solve for x
    x = 759,709.30/1,138.36
  6. Step 6: Final answer
    x = 667.37

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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.