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Finding the Fourth Proportional to 822.21, 1,234.14 and 591.36

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Solution

The fourth proportional to 822.21, 1,234.14 and 591.36 is: 887.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.21 : 1,234.14 = 591.36 : x
  2. Step 2: Convert to fraction form
    822.21/1,234.14 = 591.36/x
  3. Step 3: Cross multiply
    822.21x = 1,234.14 × 591.36
  4. Step 4: Simplify right side
    822.21x = 729,821.03
  5. Step 5: Solve for x
    x = 729,821.03/822.21
  6. Step 6: Final answer
    x = 887.63

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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.