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Finding the Fourth Proportional to 985.82, 1,361.00 and 764.28

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Solution

The fourth proportional to 985.82, 1,361.00 and 764.28 is: 1,055.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.82 : 1,361.00 = 764.28 : x
  2. Step 2: Convert to fraction form
    985.82/1,361.00 = 764.28/x
  3. Step 3: Cross multiply
    985.82x = 1,361.00 × 764.28
  4. Step 4: Simplify right side
    985.82x = 1,040,186.99
  5. Step 5: Solve for x
    x = 1,040,186.99/985.82
  6. Step 6: Final answer
    x = 1,055.15

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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.