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Finding the Fourth Proportional to 1,647.85, 2,472.24 and 674.65

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Solution

The fourth proportional to 1,647.85, 2,472.24 and 674.65 is: 1,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.85 : 2,472.24 = 674.65 : x
  2. Step 2: Convert to fraction form
    1,647.85/2,472.24 = 674.65/x
  3. Step 3: Cross multiply
    1,647.85x = 2,472.24 × 674.65
  4. Step 4: Simplify right side
    1,647.85x = 1,667,896.72
  5. Step 5: Solve for x
    x = 1,667,896.72/1,647.85
  6. Step 6: Final answer
    x = 1,012.17

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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.