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Finding the Fourth Proportional to 1,092.55, 1,638.83 and 655.15

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Solution

The fourth proportional to 1,092.55, 1,638.83 and 655.15 is: 982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.55 : 1,638.83 = 655.15 : x
  2. Step 2: Convert to fraction form
    1,092.55/1,638.83 = 655.15/x
  3. Step 3: Cross multiply
    1,092.55x = 1,638.83 × 655.15
  4. Step 4: Simplify right side
    1,092.55x = 1,073,676.20
  5. Step 5: Solve for x
    x = 1,073,676.20/1,092.55
  6. Step 6: Final answer
    x = 982.73

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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.