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Finding the Fourth Proportional to 961.05, 1,326.34 and 568

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Solution

The fourth proportional to 961.05, 1,326.34 and 568 is: 783.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.05 : 1,326.34 = 568 : x
  2. Step 2: Convert to fraction form
    961.05/1,326.34 = 568/x
  3. Step 3: Cross multiply
    961.05x = 1,326.34 × 568
  4. Step 4: Simplify right side
    961.05x = 753,361.12
  5. Step 5: Solve for x
    x = 753,361.12/961.05
  6. Step 6: Final answer
    x = 783.89

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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.