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Finding the Fourth Proportional to 1,225.94, 1,693.43 and 1,208.09

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Solution

The fourth proportional to 1,225.94, 1,693.43 and 1,208.09 is: 1,668.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.94 : 1,693.43 = 1,208.09 : x
  2. Step 2: Convert to fraction form
    1,225.94/1,693.43 = 1,208.09/x
  3. Step 3: Cross multiply
    1,225.94x = 1,693.43 × 1,208.09
  4. Step 4: Simplify right side
    1,225.94x = 2,045,817.21
  5. Step 5: Solve for x
    x = 2,045,817.21/1,225.94
  6. Step 6: Final answer
    x = 1,668.78

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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.