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Finding the Fourth Proportional to 604.13, 905.90 and 257.09

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Solution

The fourth proportional to 604.13, 905.90 and 257.09 is: 385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.13 : 905.90 = 257.09 : x
  2. Step 2: Convert to fraction form
    604.13/905.90 = 257.09/x
  3. Step 3: Cross multiply
    604.13x = 905.90 × 257.09
  4. Step 4: Simplify right side
    604.13x = 232,892.02
  5. Step 5: Solve for x
    x = 232,892.02/604.13
  6. Step 6: Final answer
    x = 385.50

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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.