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Finding the Fourth Proportional to 1,286.23, 1,928.44 and 659.99

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Solution

The fourth proportional to 1,286.23, 1,928.44 and 659.99 is: 989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.23 : 1,928.44 = 659.99 : x
  2. Step 2: Convert to fraction form
    1,286.23/1,928.44 = 659.99/x
  3. Step 3: Cross multiply
    1,286.23x = 1,928.44 × 659.99
  4. Step 4: Simplify right side
    1,286.23x = 1,272,738.17
  5. Step 5: Solve for x
    x = 1,272,738.17/1,286.23
  6. Step 6: Final answer
    x = 989.51

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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.