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Finding the Fourth Proportional to 839, 1,156.20 and 641.36

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Solution

The fourth proportional to 839, 1,156.20 and 641.36 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    839 : 1,156.20 = 641.36 : x
  2. Step 2: Convert to fraction form
    839/1,156.20 = 641.36/x
  3. Step 3: Cross multiply
    839x = 1,156.20 × 641.36
  4. Step 4: Simplify right side
    839x = 741,540.43
  5. Step 5: Solve for x
    x = 741,540.43/839
  6. Step 6: Final answer
    x = 883.84

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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.