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Finding the Fourth Proportional to 713.80, 1,067.88 and 568

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Solution

The fourth proportional to 713.80, 1,067.88 and 568 is: 849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 1,067.88 = 568 : x
  2. Step 2: Convert to fraction form
    713.80/1,067.88 = 568/x
  3. Step 3: Cross multiply
    713.80x = 1,067.88 × 568
  4. Step 4: Simplify right side
    713.80x = 606,555.84
  5. Step 5: Solve for x
    x = 606,555.84/713.80
  6. Step 6: Final answer
    x = 849.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.