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Finding the Fourth Proportional to 525.75, 725.54 and 301.73

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Solution

The fourth proportional to 525.75, 725.54 and 301.73 is: 416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.75 : 725.54 = 301.73 : x
  2. Step 2: Convert to fraction form
    525.75/725.54 = 301.73/x
  3. Step 3: Cross multiply
    525.75x = 725.54 × 301.73
  4. Step 4: Simplify right side
    525.75x = 218,912.05
  5. Step 5: Solve for x
    x = 218,912.05/525.75
  6. Step 6: Final answer
    x = 416.38

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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.