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Finding the Fourth Proportional to 603.95, 905.73 and 257.27

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Solution

The fourth proportional to 603.95, 905.73 and 257.27 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.95 : 905.73 = 257.27 : x
  2. Step 2: Convert to fraction form
    603.95/905.73 = 257.27/x
  3. Step 3: Cross multiply
    603.95x = 905.73 × 257.27
  4. Step 4: Simplify right side
    603.95x = 233,012.63
  5. Step 5: Solve for x
    x = 233,012.63/603.95
  6. Step 6: Final answer
    x = 385.82

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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.