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Finding the Fourth Proportional to 409.92, 611.89 and 379.84

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Solution

The fourth proportional to 409.92, 611.89 and 379.84 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.92 : 611.89 = 379.84 : x
  2. Step 2: Convert to fraction form
    409.92/611.89 = 379.84/x
  3. Step 3: Cross multiply
    409.92x = 611.89 × 379.84
  4. Step 4: Simplify right side
    409.92x = 232,420.30
  5. Step 5: Solve for x
    x = 232,420.30/409.92
  6. Step 6: Final answer
    x = 566.99

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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.