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Finding the Fourth Proportional to 1,174.39, 1,761.89 and 443.97

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Solution

The fourth proportional to 1,174.39, 1,761.89 and 443.97 is: 666.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.39 : 1,761.89 = 443.97 : x
  2. Step 2: Convert to fraction form
    1,174.39/1,761.89 = 443.97/x
  3. Step 3: Cross multiply
    1,174.39x = 1,761.89 × 443.97
  4. Step 4: Simplify right side
    1,174.39x = 782,224.08
  5. Step 5: Solve for x
    x = 782,224.08/1,174.39
  6. Step 6: Final answer
    x = 666.07

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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.