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Finding the Fourth Proportional to 600.50, 828.58 and 338.51

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Solution

The fourth proportional to 600.50, 828.58 and 338.51 is: 467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.50 : 828.58 = 338.51 : x
  2. Step 2: Convert to fraction form
    600.50/828.58 = 338.51/x
  3. Step 3: Cross multiply
    600.50x = 828.58 × 338.51
  4. Step 4: Simplify right side
    600.50x = 280,484.48
  5. Step 5: Solve for x
    x = 280,484.48/600.50
  6. Step 6: Final answer
    x = 467.09

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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.