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Finding the Fourth Proportional to 2,313.63, 3,469.73 and 670.29

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Solution

The fourth proportional to 2,313.63, 3,469.73 and 670.29 is: 1,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,313.63 : 3,469.73 = 670.29 : x
  2. Step 2: Convert to fraction form
    2,313.63/3,469.73 = 670.29/x
  3. Step 3: Cross multiply
    2,313.63x = 3,469.73 × 670.29
  4. Step 4: Simplify right side
    2,313.63x = 2,325,721.97
  5. Step 5: Solve for x
    x = 2,325,721.97/2,313.63
  6. Step 6: Final answer
    x = 1,005.23

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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.