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Finding the Fourth Proportional to 634.08, 950.56 and 309.76

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Solution

The fourth proportional to 634.08, 950.56 and 309.76 is: 464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 950.56 = 309.76 : x
  2. Step 2: Convert to fraction form
    634.08/950.56 = 309.76/x
  3. Step 3: Cross multiply
    634.08x = 950.56 × 309.76
  4. Step 4: Simplify right side
    634.08x = 294,445.47
  5. Step 5: Solve for x
    x = 294,445.47/634.08
  6. Step 6: Final answer
    x = 464.37

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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.