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Finding the Fourth Proportional to 635.89, 953.83 and 270.44

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Solution

The fourth proportional to 635.89, 953.83 and 270.44 is: 405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.89 : 953.83 = 270.44 : x
  2. Step 2: Convert to fraction form
    635.89/953.83 = 270.44/x
  3. Step 3: Cross multiply
    635.89x = 953.83 × 270.44
  4. Step 4: Simplify right side
    635.89x = 257,953.79
  5. Step 5: Solve for x
    x = 257,953.79/635.89
  6. Step 6: Final answer
    x = 405.66

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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.