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Finding the Fourth Proportional to 553.38, 762.86 and 422.16

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Solution

The fourth proportional to 553.38, 762.86 and 422.16 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.38 : 762.86 = 422.16 : x
  2. Step 2: Convert to fraction form
    553.38/762.86 = 422.16/x
  3. Step 3: Cross multiply
    553.38x = 762.86 × 422.16
  4. Step 4: Simplify right side
    553.38x = 322,048.98
  5. Step 5: Solve for x
    x = 322,048.98/553.38
  6. Step 6: Final answer
    x = 581.97

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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.