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Finding the Fourth Proportional to 1,382.63, 1,908.43 and 823.49

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Solution

The fourth proportional to 1,382.63, 1,908.43 and 823.49 is: 1,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.63 : 1,908.43 = 823.49 : x
  2. Step 2: Convert to fraction form
    1,382.63/1,908.43 = 823.49/x
  3. Step 3: Cross multiply
    1,382.63x = 1,908.43 × 823.49
  4. Step 4: Simplify right side
    1,382.63x = 1,571,573.02
  5. Step 5: Solve for x
    x = 1,571,573.02/1,382.63
  6. Step 6: Final answer
    x = 1,136.65

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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.