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Finding the Fourth Proportional to 1,169.70, 1,614.23 and 672.43

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Solution

The fourth proportional to 1,169.70, 1,614.23 and 672.43 is: 927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.70 : 1,614.23 = 672.43 : x
  2. Step 2: Convert to fraction form
    1,169.70/1,614.23 = 672.43/x
  3. Step 3: Cross multiply
    1,169.70x = 1,614.23 × 672.43
  4. Step 4: Simplify right side
    1,169.70x = 1,085,456.68
  5. Step 5: Solve for x
    x = 1,085,456.68/1,169.70
  6. Step 6: Final answer
    x = 927.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.