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Finding the Fourth Proportional to 786.82, 1,086.24 and 538.51

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Solution

The fourth proportional to 786.82, 1,086.24 and 538.51 is: 743.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.82 : 1,086.24 = 538.51 : x
  2. Step 2: Convert to fraction form
    786.82/1,086.24 = 538.51/x
  3. Step 3: Cross multiply
    786.82x = 1,086.24 × 538.51
  4. Step 4: Simplify right side
    786.82x = 584,951.10
  5. Step 5: Solve for x
    x = 584,951.10/786.82
  6. Step 6: Final answer
    x = 743.44

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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.