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Finding the Fourth Proportional to 1,324.67, 1,986.97 and 709.57

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Solution

The fourth proportional to 1,324.67, 1,986.97 and 709.57 is: 1,064.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.67 : 1,986.97 = 709.57 : x
  2. Step 2: Convert to fraction form
    1,324.67/1,986.97 = 709.57/x
  3. Step 3: Cross multiply
    1,324.67x = 1,986.97 × 709.57
  4. Step 4: Simplify right side
    1,324.67x = 1,409,896.34
  5. Step 5: Solve for x
    x = 1,409,896.34/1,324.67
  6. Step 6: Final answer
    x = 1,064.34

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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.