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Finding the Fourth Proportional to 1,382.02, 1,907.22 and 792.62

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Solution

The fourth proportional to 1,382.02, 1,907.22 and 792.62 is: 1,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.02 : 1,907.22 = 792.62 : x
  2. Step 2: Convert to fraction form
    1,382.02/1,907.22 = 792.62/x
  3. Step 3: Cross multiply
    1,382.02x = 1,907.22 × 792.62
  4. Step 4: Simplify right side
    1,382.02x = 1,511,700.72
  5. Step 5: Solve for x
    x = 1,511,700.72/1,382.02
  6. Step 6: Final answer
    x = 1,093.83

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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.