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Finding the Fourth Proportional to 2,313.38, 3,469.23 and 669.59

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Solution

The fourth proportional to 2,313.38, 3,469.23 and 669.59 is: 1,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.38 : 3,469.23 = 669.59 : x
  2. Step 2: Convert to fraction form
    2,313.38/3,469.23 = 669.59/x
  3. Step 3: Cross multiply
    2,313.38x = 3,469.23 × 669.59
  4. Step 4: Simplify right side
    2,313.38x = 2,322,961.72
  5. Step 5: Solve for x
    x = 2,322,961.72/2,313.38
  6. Step 6: Final answer
    x = 1,004.14

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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.