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Finding the Fourth Proportional to 943.21, 1,301.57 and 523.56

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Solution

The fourth proportional to 943.21, 1,301.57 and 523.56 is: 722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.21 : 1,301.57 = 523.56 : x
  2. Step 2: Convert to fraction form
    943.21/1,301.57 = 523.56/x
  3. Step 3: Cross multiply
    943.21x = 1,301.57 × 523.56
  4. Step 4: Simplify right side
    943.21x = 681,451.78
  5. Step 5: Solve for x
    x = 681,451.78/943.21
  6. Step 6: Final answer
    x = 722.48

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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.