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Finding the Fourth Proportional to 553.89, 829.81 and 378.11

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Solution

The fourth proportional to 553.89, 829.81 and 378.11 is: 566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.89 : 829.81 = 378.11 : x
  2. Step 2: Convert to fraction form
    553.89/829.81 = 378.11/x
  3. Step 3: Cross multiply
    553.89x = 829.81 × 378.11
  4. Step 4: Simplify right side
    553.89x = 313,759.46
  5. Step 5: Solve for x
    x = 313,759.46/553.89
  6. Step 6: Final answer
    x = 566.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.