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Finding the Fourth Proportional to 996.56, 1,492.40 and 822.16

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Solution

The fourth proportional to 996.56, 1,492.40 and 822.16 is: 1,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.56 : 1,492.40 = 822.16 : x
  2. Step 2: Convert to fraction form
    996.56/1,492.40 = 822.16/x
  3. Step 3: Cross multiply
    996.56x = 1,492.40 × 822.16
  4. Step 4: Simplify right side
    996.56x = 1,226,991.58
  5. Step 5: Solve for x
    x = 1,226,991.58/996.56
  6. Step 6: Final answer
    x = 1,231.23

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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.