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Finding the Fourth Proportional to 635.01, 951.15 and 309.70

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Solution

The fourth proportional to 635.01, 951.15 and 309.70 is: 463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.01 : 951.15 = 309.70 : x
  2. Step 2: Convert to fraction form
    635.01/951.15 = 309.70/x
  3. Step 3: Cross multiply
    635.01x = 951.15 × 309.70
  4. Step 4: Simplify right side
    635.01x = 294,571.16
  5. Step 5: Solve for x
    x = 294,571.16/635.01
  6. Step 6: Final answer
    x = 463.88

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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.