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Finding the Fourth Proportional to 1,849.24, 2,772.22 and 678.97

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Solution

The fourth proportional to 1,849.24, 2,772.22 and 678.97 is: 1,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.24 : 2,772.22 = 678.97 : x
  2. Step 2: Convert to fraction form
    1,849.24/2,772.22 = 678.97/x
  3. Step 3: Cross multiply
    1,849.24x = 2,772.22 × 678.97
  4. Step 4: Simplify right side
    1,849.24x = 1,882,254.21
  5. Step 5: Solve for x
    x = 1,882,254.21/1,849.24
  6. Step 6: Final answer
    x = 1,017.85

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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.