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Finding the Fourth Proportional to 936.97, 1,292.75 and 538.57

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Solution

The fourth proportional to 936.97, 1,292.75 and 538.57 is: 743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.97 : 1,292.75 = 538.57 : x
  2. Step 2: Convert to fraction form
    936.97/1,292.75 = 538.57/x
  3. Step 3: Cross multiply
    936.97x = 1,292.75 × 538.57
  4. Step 4: Simplify right side
    936.97x = 696,233.67
  5. Step 5: Solve for x
    x = 696,233.67/936.97
  6. Step 6: Final answer
    x = 743.07

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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.