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Finding the Fourth Proportional to 617.98, 927.24 and 480.82

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Solution

The fourth proportional to 617.98, 927.24 and 480.82 is: 721.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.98 : 927.24 = 480.82 : x
  2. Step 2: Convert to fraction form
    617.98/927.24 = 480.82/x
  3. Step 3: Cross multiply
    617.98x = 927.24 × 480.82
  4. Step 4: Simplify right side
    617.98x = 445,835.54
  5. Step 5: Solve for x
    x = 445,835.54/617.98
  6. Step 6: Final answer
    x = 721.44

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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.