Home / 1,648.20-2,274-1,057.68

Finding the Fourth Proportional to 1,648.20, 2,274 and 1,057.68

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Solution

The fourth proportional to 1,648.20, 2,274 and 1,057.68 is: 1,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.20 : 2,274 = 1,057.68 : x
  2. Step 2: Convert to fraction form
    1,648.20/2,274 = 1,057.68/x
  3. Step 3: Cross multiply
    1,648.20x = 2,274 × 1,057.68
  4. Step 4: Simplify right side
    1,648.20x = 2,405,164.32
  5. Step 5: Solve for x
    x = 2,405,164.32/1,648.20
  6. Step 6: Final answer
    x = 1,459.27

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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.