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Finding the Fourth Proportional to 1,228.02, 1,694.16 and 879.18

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Solution

The fourth proportional to 1,228.02, 1,694.16 and 879.18 is: 1,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.02 : 1,694.16 = 879.18 : x
  2. Step 2: Convert to fraction form
    1,228.02/1,694.16 = 879.18/x
  3. Step 3: Cross multiply
    1,228.02x = 1,694.16 × 879.18
  4. Step 4: Simplify right side
    1,228.02x = 1,489,471.59
  5. Step 5: Solve for x
    x = 1,489,471.59/1,228.02
  6. Step 6: Final answer
    x = 1,212.90

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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.