Home / 1,648.42-2,274.75-949.78

Finding the Fourth Proportional to 1,648.42, 2,274.75 and 949.78

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Solution

The fourth proportional to 1,648.42, 2,274.75 and 949.78 is: 1,310.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.42 : 2,274.75 = 949.78 : x
  2. Step 2: Convert to fraction form
    1,648.42/2,274.75 = 949.78/x
  3. Step 3: Cross multiply
    1,648.42x = 2,274.75 × 949.78
  4. Step 4: Simplify right side
    1,648.42x = 2,160,512.06
  5. Step 5: Solve for x
    x = 2,160,512.06/1,648.42
  6. Step 6: Final answer
    x = 1,310.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.