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Finding the Fourth Proportional to 855.12, 1,273.38 and 822

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Solution

The fourth proportional to 855.12, 1,273.38 and 822 is: 1,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.12 : 1,273.38 = 822 : x
  2. Step 2: Convert to fraction form
    855.12/1,273.38 = 822/x
  3. Step 3: Cross multiply
    855.12x = 1,273.38 × 822
  4. Step 4: Simplify right side
    855.12x = 1,046,718.36
  5. Step 5: Solve for x
    x = 1,046,718.36/855.12
  6. Step 6: Final answer
    x = 1,224.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.