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Finding the Fourth Proportional to 599.91, 828.02 and 338.07

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Solution

The fourth proportional to 599.91, 828.02 and 338.07 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.91 : 828.02 = 338.07 : x
  2. Step 2: Convert to fraction form
    599.91/828.02 = 338.07/x
  3. Step 3: Cross multiply
    599.91x = 828.02 × 338.07
  4. Step 4: Simplify right side
    599.91x = 279,932.67
  5. Step 5: Solve for x
    x = 279,932.67/599.91
  6. Step 6: Final answer
    x = 466.63

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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.