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Finding the Fourth Proportional to 1,226.54, 1,838.64 and 786.56

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Solution

The fourth proportional to 1,226.54, 1,838.64 and 786.56 is: 1,179.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.54 : 1,838.64 = 786.56 : x
  2. Step 2: Convert to fraction form
    1,226.54/1,838.64 = 786.56/x
  3. Step 3: Cross multiply
    1,226.54x = 1,838.64 × 786.56
  4. Step 4: Simplify right side
    1,226.54x = 1,446,199.25
  5. Step 5: Solve for x
    x = 1,446,199.25/1,226.54
  6. Step 6: Final answer
    x = 1,179.09

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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.