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Finding the Fourth Proportional to 600.62, 827.96 and 475.74

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Solution

The fourth proportional to 600.62, 827.96 and 475.74 is: 655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 827.96 = 475.74 : x
  2. Step 2: Convert to fraction form
    600.62/827.96 = 475.74/x
  3. Step 3: Cross multiply
    600.62x = 827.96 × 475.74
  4. Step 4: Simplify right side
    600.62x = 393,891.31
  5. Step 5: Solve for x
    x = 393,891.31/600.62
  6. Step 6: Final answer
    x = 655.81

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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.