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Finding the Fourth Proportional to 821.44, 1,231.36 and 513.12

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Solution

The fourth proportional to 821.44, 1,231.36 and 513.12 is: 769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.44 : 1,231.36 = 513.12 : x
  2. Step 2: Convert to fraction form
    821.44/1,231.36 = 513.12/x
  3. Step 3: Cross multiply
    821.44x = 1,231.36 × 513.12
  4. Step 4: Simplify right side
    821.44x = 631,835.44
  5. Step 5: Solve for x
    x = 631,835.44/821.44
  6. Step 6: Final answer
    x = 769.18

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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.