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Finding the Fourth Proportional to 1,102.96, 1,654.58 and 453.54

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Solution

The fourth proportional to 1,102.96, 1,654.58 and 453.54 is: 680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.96 : 1,654.58 = 453.54 : x
  2. Step 2: Convert to fraction form
    1,102.96/1,654.58 = 453.54/x
  3. Step 3: Cross multiply
    1,102.96x = 1,654.58 × 453.54
  4. Step 4: Simplify right side
    1,102.96x = 750,418.21
  5. Step 5: Solve for x
    x = 750,418.21/1,102.96
  6. Step 6: Final answer
    x = 680.37

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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.