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Finding the Fourth Proportional to 1,286.42, 1,930.09 and 505.99

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Solution

The fourth proportional to 1,286.42, 1,930.09 and 505.99 is: 759.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.42 : 1,930.09 = 505.99 : x
  2. Step 2: Convert to fraction form
    1,286.42/1,930.09 = 505.99/x
  3. Step 3: Cross multiply
    1,286.42x = 1,930.09 × 505.99
  4. Step 4: Simplify right side
    1,286.42x = 976,610.55
  5. Step 5: Solve for x
    x = 976,610.55/1,286.42
  6. Step 6: Final answer
    x = 759.17

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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.