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Finding the Fourth Proportional to 403.98, 604.75 and 286.43

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Solution

The fourth proportional to 403.98, 604.75 and 286.43 is: 428.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.98 : 604.75 = 286.43 : x
  2. Step 2: Convert to fraction form
    403.98/604.75 = 286.43/x
  3. Step 3: Cross multiply
    403.98x = 604.75 × 286.43
  4. Step 4: Simplify right side
    403.98x = 173,218.54
  5. Step 5: Solve for x
    x = 173,218.54/403.98
  6. Step 6: Final answer
    x = 428.78

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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.