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Finding the Fourth Proportional to 796.82, 1,189.71 and 747.63

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Solution

The fourth proportional to 796.82, 1,189.71 and 747.63 is: 1,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,189.71 = 747.63 : x
  2. Step 2: Convert to fraction form
    796.82/1,189.71 = 747.63/x
  3. Step 3: Cross multiply
    796.82x = 1,189.71 × 747.63
  4. Step 4: Simplify right side
    796.82x = 889,462.89
  5. Step 5: Solve for x
    x = 889,462.89/796.82
  6. Step 6: Final answer
    x = 1,116.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.