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Finding the Fourth Proportional to 711.49, 1,067.64 and 568.12

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Solution

The fourth proportional to 711.49, 1,067.64 and 568.12 is: 852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.49 : 1,067.64 = 568.12 : x
  2. Step 2: Convert to fraction form
    711.49/1,067.64 = 568.12/x
  3. Step 3: Cross multiply
    711.49x = 1,067.64 × 568.12
  4. Step 4: Simplify right side
    711.49x = 606,552.44
  5. Step 5: Solve for x
    x = 606,552.44/711.49
  6. Step 6: Final answer
    x = 852.51

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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.