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Finding the Fourth Proportional to 635.89, 954.02 and 270.49

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Solution

The fourth proportional to 635.89, 954.02 and 270.49 is: 405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.89 : 954.02 = 270.49 : x
  2. Step 2: Convert to fraction form
    635.89/954.02 = 270.49/x
  3. Step 3: Cross multiply
    635.89x = 954.02 × 270.49
  4. Step 4: Simplify right side
    635.89x = 258,052.87
  5. Step 5: Solve for x
    x = 258,052.87/635.89
  6. Step 6: Final answer
    x = 405.81

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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.