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Finding the Fourth Proportional to 936.97, 1,292.96 and 517.23

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Solution

The fourth proportional to 936.97, 1,292.96 and 517.23 is: 713.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.97 : 1,292.96 = 517.23 : x
  2. Step 2: Convert to fraction form
    936.97/1,292.96 = 517.23/x
  3. Step 3: Cross multiply
    936.97x = 1,292.96 × 517.23
  4. Step 4: Simplify right side
    936.97x = 668,757.70
  5. Step 5: Solve for x
    x = 668,757.70/936.97
  6. Step 6: Final answer
    x = 713.75

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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.