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Finding the Fourth Proportional to 936.80, 1,292.82 and 517.22

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Solution

The fourth proportional to 936.80, 1,292.82 and 517.22 is: 713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.80 : 1,292.82 = 517.22 : x
  2. Step 2: Convert to fraction form
    936.80/1,292.82 = 517.22/x
  3. Step 3: Cross multiply
    936.80x = 1,292.82 × 517.22
  4. Step 4: Simplify right side
    936.80x = 668,668.80
  5. Step 5: Solve for x
    x = 668,668.80/936.80
  6. Step 6: Final answer
    x = 713.78

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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.