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Finding the Fourth Proportional to 1,324.14, 1,825.38 and 826.56

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Solution

The fourth proportional to 1,324.14, 1,825.38 and 826.56 is: 1,139.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.14 : 1,825.38 = 826.56 : x
  2. Step 2: Convert to fraction form
    1,324.14/1,825.38 = 826.56/x
  3. Step 3: Cross multiply
    1,324.14x = 1,825.38 × 826.56
  4. Step 4: Simplify right side
    1,324.14x = 1,508,786.09
  5. Step 5: Solve for x
    x = 1,508,786.09/1,324.14
  6. Step 6: Final answer
    x = 1,139.45

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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.