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Finding the Fourth Proportional to 2,313, 3,469.80 and 669.60

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Solution

The fourth proportional to 2,313, 3,469.80 and 669.60 is: 1,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313 : 3,469.80 = 669.60 : x
  2. Step 2: Convert to fraction form
    2,313/3,469.80 = 669.60/x
  3. Step 3: Cross multiply
    2,313x = 3,469.80 × 669.60
  4. Step 4: Simplify right side
    2,313x = 2,323,378.08
  5. Step 5: Solve for x
    x = 2,323,378.08/2,313
  6. Step 6: Final answer
    x = 1,004.49

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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.