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Finding the Fourth Proportional to 662.65, 996.23 and 541.79

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Solution

The fourth proportional to 662.65, 996.23 and 541.79 is: 814.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.65 : 996.23 = 541.79 : x
  2. Step 2: Convert to fraction form
    662.65/996.23 = 541.79/x
  3. Step 3: Cross multiply
    662.65x = 996.23 × 541.79
  4. Step 4: Simplify right side
    662.65x = 539,747.45
  5. Step 5: Solve for x
    x = 539,747.45/662.65
  6. Step 6: Final answer
    x = 814.53

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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.