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Finding the Fourth Proportional to 1,069.75, 1,604.69 and 300.31

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Solution

The fourth proportional to 1,069.75, 1,604.69 and 300.31 is: 450.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.75 : 1,604.69 = 300.31 : x
  2. Step 2: Convert to fraction form
    1,069.75/1,604.69 = 300.31/x
  3. Step 3: Cross multiply
    1,069.75x = 1,604.69 × 300.31
  4. Step 4: Simplify right side
    1,069.75x = 481,904.45
  5. Step 5: Solve for x
    x = 481,904.45/1,069.75
  6. Step 6: Final answer
    x = 450.48

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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.