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Finding the Fourth Proportional to 905.26, 1,238.48 and 901.66

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Solution

The fourth proportional to 905.26, 1,238.48 and 901.66 is: 1,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.26 : 1,238.48 = 901.66 : x
  2. Step 2: Convert to fraction form
    905.26/1,238.48 = 901.66/x
  3. Step 3: Cross multiply
    905.26x = 1,238.48 × 901.66
  4. Step 4: Simplify right side
    905.26x = 1,116,687.88
  5. Step 5: Solve for x
    x = 1,116,687.88/905.26
  6. Step 6: Final answer
    x = 1,233.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.