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Finding the Fourth Proportional to 1,192.19, 1,645.22 and 668.23

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Solution

The fourth proportional to 1,192.19, 1,645.22 and 668.23 is: 922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.19 : 1,645.22 = 668.23 : x
  2. Step 2: Convert to fraction form
    1,192.19/1,645.22 = 668.23/x
  3. Step 3: Cross multiply
    1,192.19x = 1,645.22 × 668.23
  4. Step 4: Simplify right side
    1,192.19x = 1,099,385.36
  5. Step 5: Solve for x
    x = 1,099,385.36/1,192.19
  6. Step 6: Final answer
    x = 922.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.