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Finding the Fourth Proportional to 785.92, 1,179.40 and 779.84

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Solution

The fourth proportional to 785.92, 1,179.40 and 779.84 is: 1,170.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.92 : 1,179.40 = 779.84 : x
  2. Step 2: Convert to fraction form
    785.92/1,179.40 = 779.84/x
  3. Step 3: Cross multiply
    785.92x = 1,179.40 × 779.84
  4. Step 4: Simplify right side
    785.92x = 919,743.30
  5. Step 5: Solve for x
    x = 919,743.30/785.92
  6. Step 6: Final answer
    x = 1,170.28

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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.