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Finding the Fourth Proportional to 547.71, 821.61 and 182.58

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Solution

The fourth proportional to 547.71, 821.61 and 182.58 is: 273.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.71 : 821.61 = 182.58 : x
  2. Step 2: Convert to fraction form
    547.71/821.61 = 182.58/x
  3. Step 3: Cross multiply
    547.71x = 821.61 × 182.58
  4. Step 4: Simplify right side
    547.71x = 150,009.55
  5. Step 5: Solve for x
    x = 150,009.55/547.71
  6. Step 6: Final answer
    x = 273.89

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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.