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Finding the Fourth Proportional to 943.64, 1,302.20 and 523.98

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Solution

The fourth proportional to 943.64, 1,302.20 and 523.98 is: 723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.64 : 1,302.20 = 523.98 : x
  2. Step 2: Convert to fraction form
    943.64/1,302.20 = 523.98/x
  3. Step 3: Cross multiply
    943.64x = 1,302.20 × 523.98
  4. Step 4: Simplify right side
    943.64x = 682,324.14
  5. Step 5: Solve for x
    x = 682,324.14/943.64
  6. Step 6: Final answer
    x = 723.08

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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.