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Finding the Fourth Proportional to 634.58, 952.27 and 309.77

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Solution

The fourth proportional to 634.58, 952.27 and 309.77 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.58 : 952.27 = 309.77 : x
  2. Step 2: Convert to fraction form
    634.58/952.27 = 309.77/x
  3. Step 3: Cross multiply
    634.58x = 952.27 × 309.77
  4. Step 4: Simplify right side
    634.58x = 294,989.81
  5. Step 5: Solve for x
    x = 294,989.81/634.58
  6. Step 6: Final answer
    x = 464.86

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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.