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Finding the Fourth Proportional to 906.99, 1,251.82 and 514.14

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Solution

The fourth proportional to 906.99, 1,251.82 and 514.14 is: 709.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.99 : 1,251.82 = 514.14 : x
  2. Step 2: Convert to fraction form
    906.99/1,251.82 = 514.14/x
  3. Step 3: Cross multiply
    906.99x = 1,251.82 × 514.14
  4. Step 4: Simplify right side
    906.99x = 643,610.73
  5. Step 5: Solve for x
    x = 643,610.73/906.99
  6. Step 6: Final answer
    x = 709.61

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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.