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Finding the Fourth Proportional to 548.95, 821.64 and 301.78

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Solution

The fourth proportional to 548.95, 821.64 and 301.78 is: 451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.95 : 821.64 = 301.78 : x
  2. Step 2: Convert to fraction form
    548.95/821.64 = 301.78/x
  3. Step 3: Cross multiply
    548.95x = 821.64 × 301.78
  4. Step 4: Simplify right side
    548.95x = 247,954.52
  5. Step 5: Solve for x
    x = 247,954.52/548.95
  6. Step 6: Final answer
    x = 451.69

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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.