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Finding the Fourth Proportional to 1,648.20, 2,274.45 and 940.08

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Solution

The fourth proportional to 1,648.20, 2,274.45 and 940.08 is: 1,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.20 : 2,274.45 = 940.08 : x
  2. Step 2: Convert to fraction form
    1,648.20/2,274.45 = 940.08/x
  3. Step 3: Cross multiply
    1,648.20x = 2,274.45 × 940.08
  4. Step 4: Simplify right side
    1,648.20x = 2,138,164.96
  5. Step 5: Solve for x
    x = 2,138,164.96/1,648.20
  6. Step 6: Final answer
    x = 1,297.27

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1.5x scale

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.