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Finding the Fourth Proportional to 820.54, 1,231.17 and 333.94

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Solution

The fourth proportional to 820.54, 1,231.17 and 333.94 is: 501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.54 : 1,231.17 = 333.94 : x
  2. Step 2: Convert to fraction form
    820.54/1,231.17 = 333.94/x
  3. Step 3: Cross multiply
    820.54x = 1,231.17 × 333.94
  4. Step 4: Simplify right side
    820.54x = 411,136.91
  5. Step 5: Solve for x
    x = 411,136.91/820.54
  6. Step 6: Final answer
    x = 501.06

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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.