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Finding the Fourth Proportional to 1,336.36, 2,002.86 and 759.56

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Solution

The fourth proportional to 1,336.36, 2,002.86 and 759.56 is: 1,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.36 : 2,002.86 = 759.56 : x
  2. Step 2: Convert to fraction form
    1,336.36/2,002.86 = 759.56/x
  3. Step 3: Cross multiply
    1,336.36x = 2,002.86 × 759.56
  4. Step 4: Simplify right side
    1,336.36x = 1,521,292.34
  5. Step 5: Solve for x
    x = 1,521,292.34/1,336.36
  6. Step 6: Final answer
    x = 1,138.39

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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.