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Finding the Fourth Proportional to 415.55, 620.70 and 323.29

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Solution

The fourth proportional to 415.55, 620.70 and 323.29 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.55 : 620.70 = 323.29 : x
  2. Step 2: Convert to fraction form
    415.55/620.70 = 323.29/x
  3. Step 3: Cross multiply
    415.55x = 620.70 × 323.29
  4. Step 4: Simplify right side
    415.55x = 200,663.05
  5. Step 5: Solve for x
    x = 200,663.05/415.55
  6. Step 6: Final answer
    x = 482.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.