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Finding the Fourth Proportional to 436.98, 654.03 and 399.27

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Solution

The fourth proportional to 436.98, 654.03 and 399.27 is: 597.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.98 : 654.03 = 399.27 : x
  2. Step 2: Convert to fraction form
    436.98/654.03 = 399.27/x
  3. Step 3: Cross multiply
    436.98x = 654.03 × 399.27
  4. Step 4: Simplify right side
    436.98x = 261,134.56
  5. Step 5: Solve for x
    x = 261,134.56/436.98
  6. Step 6: Final answer
    x = 597.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.