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Finding the Fourth Proportional to 816.21, 1,222.29 and 541.98

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Solution

The fourth proportional to 816.21, 1,222.29 and 541.98 is: 811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.21 : 1,222.29 = 541.98 : x
  2. Step 2: Convert to fraction form
    816.21/1,222.29 = 541.98/x
  3. Step 3: Cross multiply
    816.21x = 1,222.29 × 541.98
  4. Step 4: Simplify right side
    816.21x = 662,456.73
  5. Step 5: Solve for x
    x = 662,456.73/816.21
  6. Step 6: Final answer
    x = 811.63

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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.