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Finding the Fourth Proportional to 1,209.39, 1,668.91 and 854.94

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Solution

The fourth proportional to 1,209.39, 1,668.91 and 854.94 is: 1,179.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.39 : 1,668.91 = 854.94 : x
  2. Step 2: Convert to fraction form
    1,209.39/1,668.91 = 854.94/x
  3. Step 3: Cross multiply
    1,209.39x = 1,668.91 × 854.94
  4. Step 4: Simplify right side
    1,209.39x = 1,426,817.92
  5. Step 5: Solve for x
    x = 1,426,817.92/1,209.39
  6. Step 6: Final answer
    x = 1,179.78

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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.