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Finding the Fourth Proportional to 952.47, 1,422.05 and 822.33

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Solution

The fourth proportional to 952.47, 1,422.05 and 822.33 is: 1,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.47 : 1,422.05 = 822.33 : x
  2. Step 2: Convert to fraction form
    952.47/1,422.05 = 822.33/x
  3. Step 3: Cross multiply
    952.47x = 1,422.05 × 822.33
  4. Step 4: Simplify right side
    952.47x = 1,169,390.26
  5. Step 5: Solve for x
    x = 1,169,390.26/952.47
  6. Step 6: Final answer
    x = 1,227.74

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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.