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Finding the Fourth Proportional to 599.70, 827.21 and 389.79

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Solution

The fourth proportional to 599.70, 827.21 and 389.79 is: 537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.70 : 827.21 = 389.79 : x
  2. Step 2: Convert to fraction form
    599.70/827.21 = 389.79/x
  3. Step 3: Cross multiply
    599.70x = 827.21 × 389.79
  4. Step 4: Simplify right side
    599.70x = 322,436.24
  5. Step 5: Solve for x
    x = 322,436.24/599.70
  6. Step 6: Final answer
    x = 537.66

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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.