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Finding the Fourth Proportional to 547.39, 824.17 and 482.79

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Solution

The fourth proportional to 547.39, 824.17 and 482.79 is: 726.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.39 : 824.17 = 482.79 : x
  2. Step 2: Convert to fraction form
    547.39/824.17 = 482.79/x
  3. Step 3: Cross multiply
    547.39x = 824.17 × 482.79
  4. Step 4: Simplify right side
    547.39x = 397,899.22
  5. Step 5: Solve for x
    x = 397,899.22/547.39
  6. Step 6: Final answer
    x = 726.91

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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.