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Finding the Fourth Proportional to 547.25, 823.97 and 482.67

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Solution

The fourth proportional to 547.25, 823.97 and 482.67 is: 726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.25 : 823.97 = 482.67 : x
  2. Step 2: Convert to fraction form
    547.25/823.97 = 482.67/x
  3. Step 3: Cross multiply
    547.25x = 823.97 × 482.67
  4. Step 4: Simplify right side
    547.25x = 397,705.60
  5. Step 5: Solve for x
    x = 397,705.60/547.25
  6. Step 6: Final answer
    x = 726.73

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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.