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Finding the Fourth Proportional to 884.18, 1,326.33 and 422.16

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Solution

The fourth proportional to 884.18, 1,326.33 and 422.16 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.18 : 1,326.33 = 422.16 : x
  2. Step 2: Convert to fraction form
    884.18/1,326.33 = 422.16/x
  3. Step 3: Cross multiply
    884.18x = 1,326.33 × 422.16
  4. Step 4: Simplify right side
    884.18x = 559,923.47
  5. Step 5: Solve for x
    x = 559,923.47/884.18
  6. Step 6: Final answer
    x = 633.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.