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Finding the Fourth Proportional to 548.44, 821.40 and 412.36

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Solution

The fourth proportional to 548.44, 821.40 and 412.36 is: 617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.44 : 821.40 = 412.36 : x
  2. Step 2: Convert to fraction form
    548.44/821.40 = 412.36/x
  3. Step 3: Cross multiply
    548.44x = 821.40 × 412.36
  4. Step 4: Simplify right side
    548.44x = 338,712.50
  5. Step 5: Solve for x
    x = 338,712.50/548.44
  6. Step 6: Final answer
    x = 617.59

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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.