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Finding the Fourth Proportional to 960.46, 1,438.26 and 634.84

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Solution

The fourth proportional to 960.46, 1,438.26 and 634.84 is: 950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.46 : 1,438.26 = 634.84 : x
  2. Step 2: Convert to fraction form
    960.46/1,438.26 = 634.84/x
  3. Step 3: Cross multiply
    960.46x = 1,438.26 × 634.84
  4. Step 4: Simplify right side
    960.46x = 913,064.98
  5. Step 5: Solve for x
    x = 913,064.98/960.46
  6. Step 6: Final answer
    x = 950.65

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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.