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Finding the Fourth Proportional to 548.54, 756.93 and 299.85

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Solution

The fourth proportional to 548.54, 756.93 and 299.85 is: 413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.54 : 756.93 = 299.85 : x
  2. Step 2: Convert to fraction form
    548.54/756.93 = 299.85/x
  3. Step 3: Cross multiply
    548.54x = 756.93 × 299.85
  4. Step 4: Simplify right side
    548.54x = 226,965.46
  5. Step 5: Solve for x
    x = 226,965.46/548.54
  6. Step 6: Final answer
    x = 413.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.