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Finding the Fourth Proportional to 678.69, 935.69 and 539.27

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Solution

The fourth proportional to 678.69, 935.69 and 539.27 is: 743.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.69 : 935.69 = 539.27 : x
  2. Step 2: Convert to fraction form
    678.69/935.69 = 539.27/x
  3. Step 3: Cross multiply
    678.69x = 935.69 × 539.27
  4. Step 4: Simplify right side
    678.69x = 504,585.68
  5. Step 5: Solve for x
    x = 504,585.68/678.69
  6. Step 6: Final answer
    x = 743.47

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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.