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Finding the Fourth Proportional to 599.69, 827.51 and 351.02

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Solution

The fourth proportional to 599.69, 827.51 and 351.02 is: 484.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.69 : 827.51 = 351.02 : x
  2. Step 2: Convert to fraction form
    599.69/827.51 = 351.02/x
  3. Step 3: Cross multiply
    599.69x = 827.51 × 351.02
  4. Step 4: Simplify right side
    599.69x = 290,466.67
  5. Step 5: Solve for x
    x = 290,466.67/599.69
  6. Step 6: Final answer
    x = 484.37

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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.