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Finding the Fourth Proportional to 564.62, 850.31 and 496.88

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Solution

The fourth proportional to 564.62, 850.31 and 496.88 is: 748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 850.31 = 496.88 : x
  2. Step 2: Convert to fraction form
    564.62/850.31 = 496.88/x
  3. Step 3: Cross multiply
    564.62x = 850.31 × 496.88
  4. Step 4: Simplify right side
    564.62x = 422,500.35
  5. Step 5: Solve for x
    x = 422,500.35/564.62
  6. Step 6: Final answer
    x = 748.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.