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Finding the Fourth Proportional to 2,998, 4,497.30 and 806.74

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Solution

The fourth proportional to 2,998, 4,497.30 and 806.74 is: 1,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998 : 4,497.30 = 806.74 : x
  2. Step 2: Convert to fraction form
    2,998/4,497.30 = 806.74/x
  3. Step 3: Cross multiply
    2,998x = 4,497.30 × 806.74
  4. Step 4: Simplify right side
    2,998x = 3,628,151.80
  5. Step 5: Solve for x
    x = 3,628,151.80/2,998
  6. Step 6: Final answer
    x = 1,210.19

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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.