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Finding the Fourth Proportional to 652.31, 976.83 and 408.09

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Solution

The fourth proportional to 652.31, 976.83 and 408.09 is: 611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.31 : 976.83 = 408.09 : x
  2. Step 2: Convert to fraction form
    652.31/976.83 = 408.09/x
  3. Step 3: Cross multiply
    652.31x = 976.83 × 408.09
  4. Step 4: Simplify right side
    652.31x = 398,634.55
  5. Step 5: Solve for x
    x = 398,634.55/652.31
  6. Step 6: Final answer
    x = 611.12

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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.