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Finding the Fourth Proportional to 821.88, 1,233.43 and 513.88

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Solution

The fourth proportional to 821.88, 1,233.43 and 513.88 is: 771.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.88 : 1,233.43 = 513.88 : x
  2. Step 2: Convert to fraction form
    821.88/1,233.43 = 513.88/x
  3. Step 3: Cross multiply
    821.88x = 1,233.43 × 513.88
  4. Step 4: Simplify right side
    821.88x = 633,830.64
  5. Step 5: Solve for x
    x = 633,830.64/821.88
  6. Step 6: Final answer
    x = 771.20

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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.