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Finding the Fourth Proportional to 967.80, 1,450.26 and 934.68

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Solution

The fourth proportional to 967.80, 1,450.26 and 934.68 is: 1,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.80 : 1,450.26 = 934.68 : x
  2. Step 2: Convert to fraction form
    967.80/1,450.26 = 934.68/x
  3. Step 3: Cross multiply
    967.80x = 1,450.26 × 934.68
  4. Step 4: Simplify right side
    967.80x = 1,355,529.02
  5. Step 5: Solve for x
    x = 1,355,529.02/967.80
  6. Step 6: Final answer
    x = 1,400.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.