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Finding the Fourth Proportional to 635.24, 951.23 and 309.75

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Solution

The fourth proportional to 635.24, 951.23 and 309.75 is: 463.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.24 : 951.23 = 309.75 : x
  2. Step 2: Convert to fraction form
    635.24/951.23 = 309.75/x
  3. Step 3: Cross multiply
    635.24x = 951.23 × 309.75
  4. Step 4: Simplify right side
    635.24x = 294,644.27
  5. Step 5: Solve for x
    x = 294,644.27/635.24
  6. Step 6: Final answer
    x = 463.84

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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.