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Finding the Fourth Proportional to 1,192.62, 1,788.63 and 461.80

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Solution

The fourth proportional to 1,192.62, 1,788.63 and 461.80 is: 692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.62 : 1,788.63 = 461.80 : x
  2. Step 2: Convert to fraction form
    1,192.62/1,788.63 = 461.80/x
  3. Step 3: Cross multiply
    1,192.62x = 1,788.63 × 461.80
  4. Step 4: Simplify right side
    1,192.62x = 825,992.44
  5. Step 5: Solve for x
    x = 825,992.44/1,192.62
  6. Step 6: Final answer
    x = 692.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.