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Finding the Fourth Proportional to 1,228.79, 1,694.45 and 949.07

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Solution

The fourth proportional to 1,228.79, 1,694.45 and 949.07 is: 1,308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.79 : 1,694.45 = 949.07 : x
  2. Step 2: Convert to fraction form
    1,228.79/1,694.45 = 949.07/x
  3. Step 3: Cross multiply
    1,228.79x = 1,694.45 × 949.07
  4. Step 4: Simplify right side
    1,228.79x = 1,608,138.44
  5. Step 5: Solve for x
    x = 1,608,138.44/1,228.79
  6. Step 6: Final answer
    x = 1,308.72

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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.