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Finding the Fourth Proportional to 600.30, 829.31 and 475.56

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Solution

The fourth proportional to 600.30, 829.31 and 475.56 is: 656.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.30 : 829.31 = 475.56 : x
  2. Step 2: Convert to fraction form
    600.30/829.31 = 475.56/x
  3. Step 3: Cross multiply
    600.30x = 829.31 × 475.56
  4. Step 4: Simplify right side
    600.30x = 394,384.29
  5. Step 5: Solve for x
    x = 394,384.29/600.30
  6. Step 6: Final answer
    x = 656.98

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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.