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Finding the Fourth Proportional to 1,192.12, 1,788.06 and 461.68

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Solution

The fourth proportional to 1,192.12, 1,788.06 and 461.68 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.12 : 1,788.06 = 461.68 : x
  2. Step 2: Convert to fraction form
    1,192.12/1,788.06 = 461.68/x
  3. Step 3: Cross multiply
    1,192.12x = 1,788.06 × 461.68
  4. Step 4: Simplify right side
    1,192.12x = 825,511.54
  5. Step 5: Solve for x
    x = 825,511.54/1,192.12
  6. Step 6: Final answer
    x = 692.47

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1.5x scale

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.