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Finding the Fourth Proportional to 1,382.49, 1,907.44 and 792.99

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Solution

The fourth proportional to 1,382.49, 1,907.44 and 792.99 is: 1,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.49 : 1,907.44 = 792.99 : x
  2. Step 2: Convert to fraction form
    1,382.49/1,907.44 = 792.99/x
  3. Step 3: Cross multiply
    1,382.49x = 1,907.44 × 792.99
  4. Step 4: Simplify right side
    1,382.49x = 1,512,580.85
  5. Step 5: Solve for x
    x = 1,512,580.85/1,382.49
  6. Step 6: Final answer
    x = 1,094.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.