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Finding the Fourth Proportional to 617.98, 850.56 and 493.24

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Solution

The fourth proportional to 617.98, 850.56 and 493.24 is: 678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 850.56 = 493.24 : x
  2. Step 2: Convert to fraction form
    617.98/850.56 = 493.24/x
  3. Step 3: Cross multiply
    617.98x = 850.56 × 493.24
  4. Step 4: Simplify right side
    617.98x = 419,530.21
  5. Step 5: Solve for x
    x = 419,530.21/617.98
  6. Step 6: Final answer
    x = 678.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.