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Finding the Fourth Proportional to 553.43, 763.78 and 396.09

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Solution

The fourth proportional to 553.43, 763.78 and 396.09 is: 546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.43 : 763.78 = 396.09 : x
  2. Step 2: Convert to fraction form
    553.43/763.78 = 396.09/x
  3. Step 3: Cross multiply
    553.43x = 763.78 × 396.09
  4. Step 4: Simplify right side
    553.43x = 302,525.37
  5. Step 5: Solve for x
    x = 302,525.37/553.43
  6. Step 6: Final answer
    x = 546.63

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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.