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Finding the Fourth Proportional to 820.95, 1,231.40 and 333.99

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Solution

The fourth proportional to 820.95, 1,231.40 and 333.99 is: 500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.95 : 1,231.40 = 333.99 : x
  2. Step 2: Convert to fraction form
    820.95/1,231.40 = 333.99/x
  3. Step 3: Cross multiply
    820.95x = 1,231.40 × 333.99
  4. Step 4: Simplify right side
    820.95x = 411,273.62
  5. Step 5: Solve for x
    x = 411,273.62/820.95
  6. Step 6: Final answer
    x = 500.97

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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.