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Finding the Fourth Proportional to 600.49, 828.96 and 351.73

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Solution

The fourth proportional to 600.49, 828.96 and 351.73 is: 485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.49 : 828.96 = 351.73 : x
  2. Step 2: Convert to fraction form
    600.49/828.96 = 351.73/x
  3. Step 3: Cross multiply
    600.49x = 828.96 × 351.73
  4. Step 4: Simplify right side
    600.49x = 291,570.10
  5. Step 5: Solve for x
    x = 291,570.10/600.49
  6. Step 6: Final answer
    x = 485.55

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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.