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Finding the Fourth Proportional to 457.25, 682.70 and 399.33

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Solution

The fourth proportional to 457.25, 682.70 and 399.33 is: 596.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.25 : 682.70 = 399.33 : x
  2. Step 2: Convert to fraction form
    457.25/682.70 = 399.33/x
  3. Step 3: Cross multiply
    457.25x = 682.70 × 399.33
  4. Step 4: Simplify right side
    457.25x = 272,620.59
  5. Step 5: Solve for x
    x = 272,620.59/457.25
  6. Step 6: Final answer
    x = 596.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.