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Finding the Fourth Proportional to 943.46, 1,302.03 and 523.83

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Solution

The fourth proportional to 943.46, 1,302.03 and 523.83 is: 722.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.46 : 1,302.03 = 523.83 : x
  2. Step 2: Convert to fraction form
    943.46/1,302.03 = 523.83/x
  3. Step 3: Cross multiply
    943.46x = 1,302.03 × 523.83
  4. Step 4: Simplify right side
    943.46x = 682,042.37
  5. Step 5: Solve for x
    x = 682,042.37/943.46
  6. Step 6: Final answer
    x = 722.92

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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.