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Finding the Fourth Proportional to 548.88, 821.88 and 438.68

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Solution

The fourth proportional to 548.88, 821.88 and 438.68 is: 656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.88 : 821.88 = 438.68 : x
  2. Step 2: Convert to fraction form
    548.88/821.88 = 438.68/x
  3. Step 3: Cross multiply
    548.88x = 821.88 × 438.68
  4. Step 4: Simplify right side
    548.88x = 360,544.37
  5. Step 5: Solve for x
    x = 360,544.37/548.88
  6. Step 6: Final answer
    x = 656.88

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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.