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Finding the Fourth Proportional to 564.62, 845.78 and 496.22

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Solution

The fourth proportional to 564.62, 845.78 and 496.22 is: 743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 845.78 = 496.22 : x
  2. Step 2: Convert to fraction form
    564.62/845.78 = 496.22/x
  3. Step 3: Cross multiply
    564.62x = 845.78 × 496.22
  4. Step 4: Simplify right side
    564.62x = 419,692.95
  5. Step 5: Solve for x
    x = 419,692.95/564.62
  6. Step 6: Final answer
    x = 743.32

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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.