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Finding the Fourth Proportional to 1,216.91, 1,678.34 and 774.05

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Solution

The fourth proportional to 1,216.91, 1,678.34 and 774.05 is: 1,067.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.91 : 1,678.34 = 774.05 : x
  2. Step 2: Convert to fraction form
    1,216.91/1,678.34 = 774.05/x
  3. Step 3: Cross multiply
    1,216.91x = 1,678.34 × 774.05
  4. Step 4: Simplify right side
    1,216.91x = 1,299,112.62
  5. Step 5: Solve for x
    x = 1,299,112.62/1,216.91
  6. Step 6: Final answer
    x = 1,067.55

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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.