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Finding the Fourth Proportional to 635.67, 953.48 and 173.44

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Solution

The fourth proportional to 635.67, 953.48 and 173.44 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 953.48 = 173.44 : x
  2. Step 2: Convert to fraction form
    635.67/953.48 = 173.44/x
  3. Step 3: Cross multiply
    635.67x = 953.48 × 173.44
  4. Step 4: Simplify right side
    635.67x = 165,373.20
  5. Step 5: Solve for x
    x = 165,373.20/635.67
  6. Step 6: Final answer
    x = 260.16

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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.