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Finding the Fourth Proportional to 568.17, 850.77 and 476.64

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Solution

The fourth proportional to 568.17, 850.77 and 476.64 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.17 : 850.77 = 476.64 : x
  2. Step 2: Convert to fraction form
    568.17/850.77 = 476.64/x
  3. Step 3: Cross multiply
    568.17x = 850.77 × 476.64
  4. Step 4: Simplify right side
    568.17x = 405,511.01
  5. Step 5: Solve for x
    x = 405,511.01/568.17
  6. Step 6: Final answer
    x = 713.71

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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.