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Finding the Fourth Proportional to 1,382.41, 1,907.55 and 822.90

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Solution

The fourth proportional to 1,382.41, 1,907.55 and 822.90 is: 1,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.41 : 1,907.55 = 822.90 : x
  2. Step 2: Convert to fraction form
    1,382.41/1,907.55 = 822.90/x
  3. Step 3: Cross multiply
    1,382.41x = 1,907.55 × 822.90
  4. Step 4: Simplify right side
    1,382.41x = 1,569,722.90
  5. Step 5: Solve for x
    x = 1,569,722.90/1,382.41
  6. Step 6: Final answer
    x = 1,135.50

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1.5x scale

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.