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Finding the Fourth Proportional to 2,998.23, 4,496.73 and 806.45

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Solution

The fourth proportional to 2,998.23, 4,496.73 and 806.45 is: 1,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.23 : 4,496.73 = 806.45 : x
  2. Step 2: Convert to fraction form
    2,998.23/4,496.73 = 806.45/x
  3. Step 3: Cross multiply
    2,998.23x = 4,496.73 × 806.45
  4. Step 4: Simplify right side
    2,998.23x = 3,626,365.42
  5. Step 5: Solve for x
    x = 3,626,365.42/2,998.23
  6. Step 6: Final answer
    x = 1,209.50

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1.5x scale

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.