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Finding the Fourth Proportional to 409, 613.78 and 354.84

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Solution

The fourth proportional to 409, 613.78 and 354.84 is: 532.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409 : 613.78 = 354.84 : x
  2. Step 2: Convert to fraction form
    409/613.78 = 354.84/x
  3. Step 3: Cross multiply
    409x = 613.78 × 354.84
  4. Step 4: Simplify right side
    409x = 217,793.70
  5. Step 5: Solve for x
    x = 217,793.70/409
  6. Step 6: Final answer
    x = 532.50

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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.