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Finding the Fourth Proportional to 1,216.14, 1,677.24 and 774.18

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Solution

The fourth proportional to 1,216.14, 1,677.24 and 774.18 is: 1,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.14 : 1,677.24 = 774.18 : x
  2. Step 2: Convert to fraction form
    1,216.14/1,677.24 = 774.18/x
  3. Step 3: Cross multiply
    1,216.14x = 1,677.24 × 774.18
  4. Step 4: Simplify right side
    1,216.14x = 1,298,485.66
  5. Step 5: Solve for x
    x = 1,298,485.66/1,216.14
  6. Step 6: Final answer
    x = 1,067.71

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1.5x scale

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.