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Finding the Fourth Proportional to 611.50, 843.72 and 349.42

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Solution

The fourth proportional to 611.50, 843.72 and 349.42 is: 482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.50 : 843.72 = 349.42 : x
  2. Step 2: Convert to fraction form
    611.50/843.72 = 349.42/x
  3. Step 3: Cross multiply
    611.50x = 843.72 × 349.42
  4. Step 4: Simplify right side
    611.50x = 294,812.64
  5. Step 5: Solve for x
    x = 294,812.64/611.50
  6. Step 6: Final answer
    x = 482.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.