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Finding the Fourth Proportional to 1,382.87, 1,907.51 and 822.96

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Solution

The fourth proportional to 1,382.87, 1,907.51 and 822.96 is: 1,135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.87 : 1,907.51 = 822.96 : x
  2. Step 2: Convert to fraction form
    1,382.87/1,907.51 = 822.96/x
  3. Step 3: Cross multiply
    1,382.87x = 1,907.51 × 822.96
  4. Step 4: Simplify right side
    1,382.87x = 1,569,800.31
  5. Step 5: Solve for x
    x = 1,569,800.31/1,382.87
  6. Step 6: Final answer
    x = 1,135.17

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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.