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Finding the Fourth Proportional to 547.05, 820.65 and 181.75

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Solution

The fourth proportional to 547.05, 820.65 and 181.75 is: 272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.05 : 820.65 = 181.75 : x
  2. Step 2: Convert to fraction form
    547.05/820.65 = 181.75/x
  3. Step 3: Cross multiply
    547.05x = 820.65 × 181.75
  4. Step 4: Simplify right side
    547.05x = 149,153.14
  5. Step 5: Solve for x
    x = 149,153.14/547.05
  6. Step 6: Final answer
    x = 272.65

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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.