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Finding the Fourth Proportional to 634.66, 952.40 and 309.85

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Solution

The fourth proportional to 634.66, 952.40 and 309.85 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.66 : 952.40 = 309.85 : x
  2. Step 2: Convert to fraction form
    634.66/952.40 = 309.85/x
  3. Step 3: Cross multiply
    634.66x = 952.40 × 309.85
  4. Step 4: Simplify right side
    634.66x = 295,094.83
  5. Step 5: Solve for x
    x = 295,094.83/634.66
  6. Step 6: Final answer
    x = 464.97

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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.