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Finding the Fourth Proportional to 608.34, 911.82 and 299.54

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Solution

The fourth proportional to 608.34, 911.82 and 299.54 is: 448.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.34 : 911.82 = 299.54 : x
  2. Step 2: Convert to fraction form
    608.34/911.82 = 299.54/x
  3. Step 3: Cross multiply
    608.34x = 911.82 × 299.54
  4. Step 4: Simplify right side
    608.34x = 273,122.29
  5. Step 5: Solve for x
    x = 273,122.29/608.34
  6. Step 6: Final answer
    x = 448.97

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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.