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Finding the Fourth Proportional to 548.37, 821.46 and 438.90

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Solution

The fourth proportional to 548.37, 821.46 and 438.90 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.37 : 821.46 = 438.90 : x
  2. Step 2: Convert to fraction form
    548.37/821.46 = 438.90/x
  3. Step 3: Cross multiply
    548.37x = 821.46 × 438.90
  4. Step 4: Simplify right side
    548.37x = 360,538.79
  5. Step 5: Solve for x
    x = 360,538.79/548.37
  6. Step 6: Final answer
    x = 657.47

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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.