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Finding the Fourth Proportional to 967.25, 1,438.43 and 936.50

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Solution

The fourth proportional to 967.25, 1,438.43 and 936.50 is: 1,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.25 : 1,438.43 = 936.50 : x
  2. Step 2: Convert to fraction form
    967.25/1,438.43 = 936.50/x
  3. Step 3: Cross multiply
    967.25x = 1,438.43 × 936.50
  4. Step 4: Simplify right side
    967.25x = 1,347,089.70
  5. Step 5: Solve for x
    x = 1,347,089.70/967.25
  6. Step 6: Final answer
    x = 1,392.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.