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Finding the Fourth Proportional to 1,654.56, 2,481.84 and 729.90

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Solution

The fourth proportional to 1,654.56, 2,481.84 and 729.90 is: 1,094.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.56 : 2,481.84 = 729.90 : x
  2. Step 2: Convert to fraction form
    1,654.56/2,481.84 = 729.90/x
  3. Step 3: Cross multiply
    1,654.56x = 2,481.84 × 729.90
  4. Step 4: Simplify right side
    1,654.56x = 1,811,495.02
  5. Step 5: Solve for x
    x = 1,811,495.02/1,654.56
  6. Step 6: Final answer
    x = 1,094.85

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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.