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Finding the Fourth Proportional to 553.88, 829.20 and 388.78

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Solution

The fourth proportional to 553.88, 829.20 and 388.78 is: 582.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.88 : 829.20 = 388.78 : x
  2. Step 2: Convert to fraction form
    553.88/829.20 = 388.78/x
  3. Step 3: Cross multiply
    553.88x = 829.20 × 388.78
  4. Step 4: Simplify right side
    553.88x = 322,376.38
  5. Step 5: Solve for x
    x = 322,376.38/553.88
  6. Step 6: Final answer
    x = 582.03

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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.