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Finding the Fourth Proportional to 936.98, 1,293 and 538.71

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Solution

The fourth proportional to 936.98, 1,293 and 538.71 is: 743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.98 : 1,293 = 538.71 : x
  2. Step 2: Convert to fraction form
    936.98/1,293 = 538.71/x
  3. Step 3: Cross multiply
    936.98x = 1,293 × 538.71
  4. Step 4: Simplify right side
    936.98x = 696,552.03
  5. Step 5: Solve for x
    x = 696,552.03/936.98
  6. Step 6: Final answer
    x = 743.41

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1.5x scale

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.