Home / 1,461.26-2,192.73-768.56

Finding the Fourth Proportional to 1,461.26, 2,192.73 and 768.56

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Solution

The fourth proportional to 1,461.26, 2,192.73 and 768.56 is: 1,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.26 : 2,192.73 = 768.56 : x
  2. Step 2: Convert to fraction form
    1,461.26/2,192.73 = 768.56/x
  3. Step 3: Cross multiply
    1,461.26x = 2,192.73 × 768.56
  4. Step 4: Simplify right side
    1,461.26x = 1,685,244.57
  5. Step 5: Solve for x
    x = 1,685,244.57/1,461.26
  6. Step 6: Final answer
    x = 1,153.28

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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.