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Finding the Fourth Proportional to 785.94, 1,178.91 and 738.42

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Solution

The fourth proportional to 785.94, 1,178.91 and 738.42 is: 1,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.94 : 1,178.91 = 738.42 : x
  2. Step 2: Convert to fraction form
    785.94/1,178.91 = 738.42/x
  3. Step 3: Cross multiply
    785.94x = 1,178.91 × 738.42
  4. Step 4: Simplify right side
    785.94x = 870,530.72
  5. Step 5: Solve for x
    x = 870,530.72/785.94
  6. Step 6: Final answer
    x = 1,107.63

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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.