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Finding the Fourth Proportional to 604.56, 906.80 and 257.88

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Solution

The fourth proportional to 604.56, 906.80 and 257.88 is: 386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.56 : 906.80 = 257.88 : x
  2. Step 2: Convert to fraction form
    604.56/906.80 = 257.88/x
  3. Step 3: Cross multiply
    604.56x = 906.80 × 257.88
  4. Step 4: Simplify right side
    604.56x = 233,847.70
  5. Step 5: Solve for x
    x = 233,847.70/604.56
  6. Step 6: Final answer
    x = 386.80

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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.