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Finding the Fourth Proportional to 786.96, 1,185.69 and 712.93

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Solution

The fourth proportional to 786.96, 1,185.69 and 712.93 is: 1,074.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.96 : 1,185.69 = 712.93 : x
  2. Step 2: Convert to fraction form
    786.96/1,185.69 = 712.93/x
  3. Step 3: Cross multiply
    786.96x = 1,185.69 × 712.93
  4. Step 4: Simplify right side
    786.96x = 845,313.97
  5. Step 5: Solve for x
    x = 845,313.97/786.96
  6. Step 6: Final answer
    x = 1,074.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.