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Finding the Fourth Proportional to 409.82, 613.74 and 299.84

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Solution

The fourth proportional to 409.82, 613.74 and 299.84 is: 449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.82 : 613.74 = 299.84 : x
  2. Step 2: Convert to fraction form
    409.82/613.74 = 299.84/x
  3. Step 3: Cross multiply
    409.82x = 613.74 × 299.84
  4. Step 4: Simplify right side
    409.82x = 184,023.80
  5. Step 5: Solve for x
    x = 184,023.80/409.82
  6. Step 6: Final answer
    x = 449.04

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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.