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Finding the Fourth Proportional to 548.04, 820.98 and 419.16

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Solution

The fourth proportional to 548.04, 820.98 and 419.16 is: 627.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.04 : 820.98 = 419.16 : x
  2. Step 2: Convert to fraction form
    548.04/820.98 = 419.16/x
  3. Step 3: Cross multiply
    548.04x = 820.98 × 419.16
  4. Step 4: Simplify right side
    548.04x = 344,121.98
  5. Step 5: Solve for x
    x = 344,121.98/548.04
  6. Step 6: Final answer
    x = 627.91

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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.