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Finding the Fourth Proportional to 553.88, 764.70 and 379.46

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Solution

The fourth proportional to 553.88, 764.70 and 379.46 is: 523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 764.70 = 379.46 : x
  2. Step 2: Convert to fraction form
    553.88/764.70 = 379.46/x
  3. Step 3: Cross multiply
    553.88x = 764.70 × 379.46
  4. Step 4: Simplify right side
    553.88x = 290,173.06
  5. Step 5: Solve for x
    x = 290,173.06/553.88
  6. Step 6: Final answer
    x = 523.89

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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.