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Finding the Fourth Proportional to 1,604.63, 2,216.21 and 1,079.75

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Solution

The fourth proportional to 1,604.63, 2,216.21 and 1,079.75 is: 1,491.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.63 : 2,216.21 = 1,079.75 : x
  2. Step 2: Convert to fraction form
    1,604.63/2,216.21 = 1,079.75/x
  3. Step 3: Cross multiply
    1,604.63x = 2,216.21 × 1,079.75
  4. Step 4: Simplify right side
    1,604.63x = 2,392,936.27
  5. Step 5: Solve for x
    x = 2,392,936.27/1,604.63
  6. Step 6: Final answer
    x = 1,491.27

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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.