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Finding the Fourth Proportional to 548.04, 820.34 and 303.78

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Solution

The fourth proportional to 548.04, 820.34 and 303.78 is: 454.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.04 : 820.34 = 303.78 : x
  2. Step 2: Convert to fraction form
    548.04/820.34 = 303.78/x
  3. Step 3: Cross multiply
    548.04x = 820.34 × 303.78
  4. Step 4: Simplify right side
    548.04x = 249,202.89
  5. Step 5: Solve for x
    x = 249,202.89/548.04
  6. Step 6: Final answer
    x = 454.72

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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.