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Finding the Fourth Proportional to 1,108.70, 1,662.16 and 415.27

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Solution

The fourth proportional to 1,108.70, 1,662.16 and 415.27 is: 622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.70 : 1,662.16 = 415.27 : x
  2. Step 2: Convert to fraction form
    1,108.70/1,662.16 = 415.27/x
  3. Step 3: Cross multiply
    1,108.70x = 1,662.16 × 415.27
  4. Step 4: Simplify right side
    1,108.70x = 690,245.18
  5. Step 5: Solve for x
    x = 690,245.18/1,108.70
  6. Step 6: Final answer
    x = 622.57

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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.