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Finding the Fourth Proportional to 1,614, 2,227.15 and 905.68

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Solution

The fourth proportional to 1,614, 2,227.15 and 905.68 is: 1,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614 : 2,227.15 = 905.68 : x
  2. Step 2: Convert to fraction form
    1,614/2,227.15 = 905.68/x
  3. Step 3: Cross multiply
    1,614x = 2,227.15 × 905.68
  4. Step 4: Simplify right side
    1,614x = 2,017,085.21
  5. Step 5: Solve for x
    x = 2,017,085.21/1,614
  6. Step 6: Final answer
    x = 1,249.74

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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.