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Finding the Fourth Proportional to 604.43, 906.81 and 257.79

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Solution

The fourth proportional to 604.43, 906.81 and 257.79 is: 386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.43 : 906.81 = 257.79 : x
  2. Step 2: Convert to fraction form
    604.43/906.81 = 257.79/x
  3. Step 3: Cross multiply
    604.43x = 906.81 × 257.79
  4. Step 4: Simplify right side
    604.43x = 233,761.37
  5. Step 5: Solve for x
    x = 233,761.37/604.43
  6. Step 6: Final answer
    x = 386.75

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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.