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Finding the Fourth Proportional to 1,485.27, 2,049.49 and 822.08

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Solution

The fourth proportional to 1,485.27, 2,049.49 and 822.08 is: 1,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.27 : 2,049.49 = 822.08 : x
  2. Step 2: Convert to fraction form
    1,485.27/2,049.49 = 822.08/x
  3. Step 3: Cross multiply
    1,485.27x = 2,049.49 × 822.08
  4. Step 4: Simplify right side
    1,485.27x = 1,684,844.74
  5. Step 5: Solve for x
    x = 1,684,844.74/1,485.27
  6. Step 6: Final answer
    x = 1,134.37

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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.