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Finding the Fourth Proportional to 1,849.86, 2,775.24 and 679.95

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Solution

The fourth proportional to 1,849.86, 2,775.24 and 679.95 is: 1,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.86 : 2,775.24 = 679.95 : x
  2. Step 2: Convert to fraction form
    1,849.86/2,775.24 = 679.95/x
  3. Step 3: Cross multiply
    1,849.86x = 2,775.24 × 679.95
  4. Step 4: Simplify right side
    1,849.86x = 1,887,024.44
  5. Step 5: Solve for x
    x = 1,887,024.44/1,849.86
  6. Step 6: Final answer
    x = 1,020.09

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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.