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Finding the Fourth Proportional to 1,192.62, 1,640.88 and 1,102.98

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Solution

The fourth proportional to 1,192.62, 1,640.88 and 1,102.98 is: 1,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.62 : 1,640.88 = 1,102.98 : x
  2. Step 2: Convert to fraction form
    1,192.62/1,640.88 = 1,102.98/x
  3. Step 3: Cross multiply
    1,192.62x = 1,640.88 × 1,102.98
  4. Step 4: Simplify right side
    1,192.62x = 1,809,857.82
  5. Step 5: Solve for x
    x = 1,809,857.82/1,192.62
  6. Step 6: Final answer
    x = 1,517.55

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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.