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Finding the Fourth Proportional to 600.07, 827.96 and 351.31

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Solution

The fourth proportional to 600.07, 827.96 and 351.31 is: 484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.07 : 827.96 = 351.31 : x
  2. Step 2: Convert to fraction form
    600.07/827.96 = 351.31/x
  3. Step 3: Cross multiply
    600.07x = 827.96 × 351.31
  4. Step 4: Simplify right side
    600.07x = 290,867.37
  5. Step 5: Solve for x
    x = 290,867.37/600.07
  6. Step 6: Final answer
    x = 484.72

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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.