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Finding the Fourth Proportional to 1,382.88, 1,907.65 and 822.95

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Solution

The fourth proportional to 1,382.88, 1,907.65 and 822.95 is: 1,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.88 : 1,907.65 = 822.95 : x
  2. Step 2: Convert to fraction form
    1,382.88/1,907.65 = 822.95/x
  3. Step 3: Cross multiply
    1,382.88x = 1,907.65 × 822.95
  4. Step 4: Simplify right side
    1,382.88x = 1,569,896.45
  5. Step 5: Solve for x
    x = 1,569,896.45/1,382.88
  6. Step 6: Final answer
    x = 1,135.24

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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.