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Finding the Fourth Proportional to 2,465.70, 3,698.43 and 822.20

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Solution

The fourth proportional to 2,465.70, 3,698.43 and 822.20 is: 1,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.70 : 3,698.43 = 822.20 : x
  2. Step 2: Convert to fraction form
    2,465.70/3,698.43 = 822.20/x
  3. Step 3: Cross multiply
    2,465.70x = 3,698.43 × 822.20
  4. Step 4: Simplify right side
    2,465.70x = 3,040,830.65
  5. Step 5: Solve for x
    x = 3,040,830.65/2,465.70
  6. Step 6: Final answer
    x = 1,233.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.