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Finding the Fourth Proportional to 568.08, 851.91 and 564.43

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Solution

The fourth proportional to 568.08, 851.91 and 564.43 is: 846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.08 : 851.91 = 564.43 : x
  2. Step 2: Convert to fraction form
    568.08/851.91 = 564.43/x
  3. Step 3: Cross multiply
    568.08x = 851.91 × 564.43
  4. Step 4: Simplify right side
    568.08x = 480,843.56
  5. Step 5: Solve for x
    x = 480,843.56/568.08
  6. Step 6: Final answer
    x = 846.44

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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.