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Finding the Fourth Proportional to 2,322.20, 3,482.22 and 678.36

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Solution

The fourth proportional to 2,322.20, 3,482.22 and 678.36 is: 1,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.20 : 3,482.22 = 678.36 : x
  2. Step 2: Convert to fraction form
    2,322.20/3,482.22 = 678.36/x
  3. Step 3: Cross multiply
    2,322.20x = 3,482.22 × 678.36
  4. Step 4: Simplify right side
    2,322.20x = 2,362,198.76
  5. Step 5: Solve for x
    x = 2,362,198.76/2,322.20
  6. Step 6: Final answer
    x = 1,017.22

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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.