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Finding the Fourth Proportional to 1,192.76, 1,645.88 and 668.69

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Solution

The fourth proportional to 1,192.76, 1,645.88 and 668.69 is: 922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.76 : 1,645.88 = 668.69 : x
  2. Step 2: Convert to fraction form
    1,192.76/1,645.88 = 668.69/x
  3. Step 3: Cross multiply
    1,192.76x = 1,645.88 × 668.69
  4. Step 4: Simplify right side
    1,192.76x = 1,100,571.92
  5. Step 5: Solve for x
    x = 1,100,571.92/1,192.76
  6. Step 6: Final answer
    x = 922.71

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Half scale
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1.5x scale

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.