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Finding the Fourth Proportional to 2,069.85, 3,105.30 and 608.99

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Solution

The fourth proportional to 2,069.85, 3,105.30 and 608.99 is: 913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.85 : 3,105.30 = 608.99 : x
  2. Step 2: Convert to fraction form
    2,069.85/3,105.30 = 608.99/x
  3. Step 3: Cross multiply
    2,069.85x = 3,105.30 × 608.99
  4. Step 4: Simplify right side
    2,069.85x = 1,891,083.40
  5. Step 5: Solve for x
    x = 1,891,083.40/2,069.85
  6. Step 6: Final answer
    x = 913.63

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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.