Home / 1,648.26-2,471.58-674.28

Finding the Fourth Proportional to 1,648.26, 2,471.58 and 674.28

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Solution

The fourth proportional to 1,648.26, 2,471.58 and 674.28 is: 1,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.26 : 2,471.58 = 674.28 : x
  2. Step 2: Convert to fraction form
    1,648.26/2,471.58 = 674.28/x
  3. Step 3: Cross multiply
    1,648.26x = 2,471.58 × 674.28
  4. Step 4: Simplify right side
    1,648.26x = 1,666,536.96
  5. Step 5: Solve for x
    x = 1,666,536.96/1,648.26
  6. Step 6: Final answer
    x = 1,011.09

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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.