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Finding the Fourth Proportional to 785.36, 1,172.79 and 739.80

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Solution

The fourth proportional to 785.36, 1,172.79 and 739.80 is: 1,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.36 : 1,172.79 = 739.80 : x
  2. Step 2: Convert to fraction form
    785.36/1,172.79 = 739.80/x
  3. Step 3: Cross multiply
    785.36x = 1,172.79 × 739.80
  4. Step 4: Simplify right side
    785.36x = 867,630.04
  5. Step 5: Solve for x
    x = 867,630.04/785.36
  6. Step 6: Final answer
    x = 1,104.75

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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.