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Finding the Fourth Proportional to 548.88, 823.44 and 386.64

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Solution

The fourth proportional to 548.88, 823.44 and 386.64 is: 580.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 823.44 = 386.64 : x
  2. Step 2: Convert to fraction form
    548.88/823.44 = 386.64/x
  3. Step 3: Cross multiply
    548.88x = 823.44 × 386.64
  4. Step 4: Simplify right side
    548.88x = 318,374.84
  5. Step 5: Solve for x
    x = 318,374.84/548.88
  6. Step 6: Final answer
    x = 580.04

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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.