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Finding the Fourth Proportional to 1,108.01, 1,662.21 and 415.16

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Solution

The fourth proportional to 1,108.01, 1,662.21 and 415.16 is: 622.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.01 : 1,662.21 = 415.16 : x
  2. Step 2: Convert to fraction form
    1,108.01/1,662.21 = 415.16/x
  3. Step 3: Cross multiply
    1,108.01x = 1,662.21 × 415.16
  4. Step 4: Simplify right side
    1,108.01x = 690,074.79
  5. Step 5: Solve for x
    x = 690,074.79/1,108.01
  6. Step 6: Final answer
    x = 622.81

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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.