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Finding the Fourth Proportional to 1,069.63, 1,604.50 and 300.19

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Solution

The fourth proportional to 1,069.63, 1,604.50 and 300.19 is: 450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.63 : 1,604.50 = 300.19 : x
  2. Step 2: Convert to fraction form
    1,069.63/1,604.50 = 300.19/x
  3. Step 3: Cross multiply
    1,069.63x = 1,604.50 × 300.19
  4. Step 4: Simplify right side
    1,069.63x = 481,654.86
  5. Step 5: Solve for x
    x = 481,654.86/1,069.63
  6. Step 6: Final answer
    x = 450.30

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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.