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Finding the Fourth Proportional to 568.77, 853.31 and 363.09

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Solution

The fourth proportional to 568.77, 853.31 and 363.09 is: 544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.77 : 853.31 = 363.09 : x
  2. Step 2: Convert to fraction form
    568.77/853.31 = 363.09/x
  3. Step 3: Cross multiply
    568.77x = 853.31 × 363.09
  4. Step 4: Simplify right side
    568.77x = 309,828.33
  5. Step 5: Solve for x
    x = 309,828.33/568.77
  6. Step 6: Final answer
    x = 544.73

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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.