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Finding the Fourth Proportional to 409.08, 609.27 and 387

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Solution

The fourth proportional to 409.08, 609.27 and 387 is: 576.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.08 : 609.27 = 387 : x
  2. Step 2: Convert to fraction form
    409.08/609.27 = 387/x
  3. Step 3: Cross multiply
    409.08x = 609.27 × 387
  4. Step 4: Simplify right side
    409.08x = 235,787.49
  5. Step 5: Solve for x
    x = 235,787.49/409.08
  6. Step 6: Final answer
    x = 576.38

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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.