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Finding the Fourth Proportional to 786.00, 1,082.72 and 734.97

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Solution

The fourth proportional to 786.00, 1,082.72 and 734.97 is: 1,012.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.00 : 1,082.72 = 734.97 : x
  2. Step 2: Convert to fraction form
    786.00/1,082.72 = 734.97/x
  3. Step 3: Cross multiply
    786.00x = 1,082.72 × 734.97
  4. Step 4: Simplify right side
    786.00x = 795,768.48
  5. Step 5: Solve for x
    x = 795,768.48/786.00
  6. Step 6: Final answer
    x = 1,012.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.