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Finding the Fourth Proportional to 886.13, 1,322.80 and 822.03

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Solution

The fourth proportional to 886.13, 1,322.80 and 822.03 is: 1,227.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.13 : 1,322.80 = 822.03 : x
  2. Step 2: Convert to fraction form
    886.13/1,322.80 = 822.03/x
  3. Step 3: Cross multiply
    886.13x = 1,322.80 × 822.03
  4. Step 4: Simplify right side
    886.13x = 1,087,377.17
  5. Step 5: Solve for x
    x = 1,087,377.17/886.13
  6. Step 6: Final answer
    x = 1,227.11

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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.