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Finding the Fourth Proportional to 548.05, 822.47 and 442.77

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Solution

The fourth proportional to 548.05, 822.47 and 442.77 is: 664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.05 : 822.47 = 442.77 : x
  2. Step 2: Convert to fraction form
    548.05/822.47 = 442.77/x
  3. Step 3: Cross multiply
    548.05x = 822.47 × 442.77
  4. Step 4: Simplify right side
    548.05x = 364,163.17
  5. Step 5: Solve for x
    x = 364,163.17/548.05
  6. Step 6: Final answer
    x = 664.47

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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.