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Finding the Fourth Proportional to 643.97, 965.59 and 567.09

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Solution

The fourth proportional to 643.97, 965.59 and 567.09 is: 850.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.97 : 965.59 = 567.09 : x
  2. Step 2: Convert to fraction form
    643.97/965.59 = 567.09/x
  3. Step 3: Cross multiply
    643.97x = 965.59 × 567.09
  4. Step 4: Simplify right side
    643.97x = 547,575.02
  5. Step 5: Solve for x
    x = 547,575.02/643.97
  6. Step 6: Final answer
    x = 850.31

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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.