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Finding the Fourth Proportional to 1,324.89, 1,986.12 and 674.19

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Solution

The fourth proportional to 1,324.89, 1,986.12 and 674.19 is: 1,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.89 : 1,986.12 = 674.19 : x
  2. Step 2: Convert to fraction form
    1,324.89/1,986.12 = 674.19/x
  3. Step 3: Cross multiply
    1,324.89x = 1,986.12 × 674.19
  4. Step 4: Simplify right side
    1,324.89x = 1,339,022.24
  5. Step 5: Solve for x
    x = 1,339,022.24/1,324.89
  6. Step 6: Final answer
    x = 1,010.67

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Double scale
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1.5x scale

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.