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Finding the Fourth Proportional to 635.17, 951.81 and 461.41

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Solution

The fourth proportional to 635.17, 951.81 and 461.41 is: 691.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.17 : 951.81 = 461.41 : x
  2. Step 2: Convert to fraction form
    635.17/951.81 = 461.41/x
  3. Step 3: Cross multiply
    635.17x = 951.81 × 461.41
  4. Step 4: Simplify right side
    635.17x = 439,174.65
  5. Step 5: Solve for x
    x = 439,174.65/635.17
  6. Step 6: Final answer
    x = 691.43

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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.