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Finding the Fourth Proportional to 635.47, 953.29 and 173.26

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Solution

The fourth proportional to 635.47, 953.29 and 173.26 is: 259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.47 : 953.29 = 173.26 : x
  2. Step 2: Convert to fraction form
    635.47/953.29 = 173.26/x
  3. Step 3: Cross multiply
    635.47x = 953.29 × 173.26
  4. Step 4: Simplify right side
    635.47x = 165,166.16
  5. Step 5: Solve for x
    x = 165,166.16/635.47
  6. Step 6: Final answer
    x = 259.91

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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.