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Finding the Fourth Proportional to 908.21, 1,252.26 and 759.17

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Solution

The fourth proportional to 908.21, 1,252.26 and 759.17 is: 1,046.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.21 : 1,252.26 = 759.17 : x
  2. Step 2: Convert to fraction form
    908.21/1,252.26 = 759.17/x
  3. Step 3: Cross multiply
    908.21x = 1,252.26 × 759.17
  4. Step 4: Simplify right side
    908.21x = 950,681.35
  5. Step 5: Solve for x
    x = 950,681.35/908.21
  6. Step 6: Final answer
    x = 1,046.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.