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Finding the Fourth Proportional to 548.83, 822.84 and 483.94

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Solution

The fourth proportional to 548.83, 822.84 and 483.94 is: 725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.83 : 822.84 = 483.94 : x
  2. Step 2: Convert to fraction form
    548.83/822.84 = 483.94/x
  3. Step 3: Cross multiply
    548.83x = 822.84 × 483.94
  4. Step 4: Simplify right side
    548.83x = 398,205.19
  5. Step 5: Solve for x
    x = 398,205.19/548.83
  6. Step 6: Final answer
    x = 725.55

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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.