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Finding the Fourth Proportional to 553.82, 763.67 and 396.39

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Solution

The fourth proportional to 553.82, 763.67 and 396.39 is: 546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.82 : 763.67 = 396.39 : x
  2. Step 2: Convert to fraction form
    553.82/763.67 = 396.39/x
  3. Step 3: Cross multiply
    553.82x = 763.67 × 396.39
  4. Step 4: Simplify right side
    553.82x = 302,711.15
  5. Step 5: Solve for x
    x = 302,711.15/553.82
  6. Step 6: Final answer
    x = 546.59

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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.