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Finding the Fourth Proportional to 1,192.38, 1,645.34 and 668.40

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Solution

The fourth proportional to 1,192.38, 1,645.34 and 668.40 is: 922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.38 : 1,645.34 = 668.40 : x
  2. Step 2: Convert to fraction form
    1,192.38/1,645.34 = 668.40/x
  3. Step 3: Cross multiply
    1,192.38x = 1,645.34 × 668.40
  4. Step 4: Simplify right side
    1,192.38x = 1,099,745.26
  5. Step 5: Solve for x
    x = 1,099,745.26/1,192.38
  6. Step 6: Final answer
    x = 922.31

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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.