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Finding the Fourth Proportional to 553.28, 762.12 and 422.06

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Solution

The fourth proportional to 553.28, 762.12 and 422.06 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.28 : 762.12 = 422.06 : x
  2. Step 2: Convert to fraction form
    553.28/762.12 = 422.06/x
  3. Step 3: Cross multiply
    553.28x = 762.12 × 422.06
  4. Step 4: Simplify right side
    553.28x = 321,660.37
  5. Step 5: Solve for x
    x = 321,660.37/553.28
  6. Step 6: Final answer
    x = 581.37

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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.