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Finding the Fourth Proportional to 1,108.36, 1,662.08 and 377.98

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Solution

The fourth proportional to 1,108.36, 1,662.08 and 377.98 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.36 : 1,662.08 = 377.98 : x
  2. Step 2: Convert to fraction form
    1,108.36/1,662.08 = 377.98/x
  3. Step 3: Cross multiply
    1,108.36x = 1,662.08 × 377.98
  4. Step 4: Simplify right side
    1,108.36x = 628,231.11
  5. Step 5: Solve for x
    x = 628,231.11/1,108.36
  6. Step 6: Final answer
    x = 566.81

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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.