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Finding the Fourth Proportional to 922.42, 1,382.01 and 821.98

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Solution

The fourth proportional to 922.42, 1,382.01 and 821.98 is: 1,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.42 : 1,382.01 = 821.98 : x
  2. Step 2: Convert to fraction form
    922.42/1,382.01 = 821.98/x
  3. Step 3: Cross multiply
    922.42x = 1,382.01 × 821.98
  4. Step 4: Simplify right side
    922.42x = 1,135,984.58
  5. Step 5: Solve for x
    x = 1,135,984.58/922.42
  6. Step 6: Final answer
    x = 1,231.53

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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.