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Finding the Fourth Proportional to 1,382.45, 1,907.94 and 792.98

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Solution

The fourth proportional to 1,382.45, 1,907.94 and 792.98 is: 1,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.45 : 1,907.94 = 792.98 : x
  2. Step 2: Convert to fraction form
    1,382.45/1,907.94 = 792.98/x
  3. Step 3: Cross multiply
    1,382.45x = 1,907.94 × 792.98
  4. Step 4: Simplify right side
    1,382.45x = 1,512,958.26
  5. Step 5: Solve for x
    x = 1,512,958.26/1,382.45
  6. Step 6: Final answer
    x = 1,094.40

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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.