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Finding the Fourth Proportional to 1,382.87, 1,907.84 and 823.37

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Solution

The fourth proportional to 1,382.87, 1,907.84 and 823.37 is: 1,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.87 : 1,907.84 = 823.37 : x
  2. Step 2: Convert to fraction form
    1,382.87/1,907.84 = 823.37/x
  3. Step 3: Cross multiply
    1,382.87x = 1,907.84 × 823.37
  4. Step 4: Simplify right side
    1,382.87x = 1,570,850.74
  5. Step 5: Solve for x
    x = 1,570,850.74/1,382.87
  6. Step 6: Final answer
    x = 1,135.93

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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.