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Finding the Fourth Proportional to 1,246.12, 1,718.96 and 774.09

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Solution

The fourth proportional to 1,246.12, 1,718.96 and 774.09 is: 1,067.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.12 : 1,718.96 = 774.09 : x
  2. Step 2: Convert to fraction form
    1,246.12/1,718.96 = 774.09/x
  3. Step 3: Cross multiply
    1,246.12x = 1,718.96 × 774.09
  4. Step 4: Simplify right side
    1,246.12x = 1,330,625.88
  5. Step 5: Solve for x
    x = 1,330,625.88/1,246.12
  6. Step 6: Final answer
    x = 1,067.82

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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.