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Finding the Fourth Proportional to 547.75, 821.99 and 259.21

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Solution

The fourth proportional to 547.75, 821.99 and 259.21 is: 388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.75 : 821.99 = 259.21 : x
  2. Step 2: Convert to fraction form
    547.75/821.99 = 259.21/x
  3. Step 3: Cross multiply
    547.75x = 821.99 × 259.21
  4. Step 4: Simplify right side
    547.75x = 213,068.03
  5. Step 5: Solve for x
    x = 213,068.03/547.75
  6. Step 6: Final answer
    x = 388.99

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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.