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Finding the Fourth Proportional to 599.96, 828.05 and 351.23

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Solution

The fourth proportional to 599.96, 828.05 and 351.23 is: 484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.96 : 828.05 = 351.23 : x
  2. Step 2: Convert to fraction form
    599.96/828.05 = 351.23/x
  3. Step 3: Cross multiply
    599.96x = 828.05 × 351.23
  4. Step 4: Simplify right side
    599.96x = 290,830.11
  5. Step 5: Solve for x
    x = 290,830.11/599.96
  6. Step 6: Final answer
    x = 484.75

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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.