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Finding the Fourth Proportional to 991.75, 1,369.19 and 759.31

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Solution

The fourth proportional to 991.75, 1,369.19 and 759.31 is: 1,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.75 : 1,369.19 = 759.31 : x
  2. Step 2: Convert to fraction form
    991.75/1,369.19 = 759.31/x
  3. Step 3: Cross multiply
    991.75x = 1,369.19 × 759.31
  4. Step 4: Simplify right side
    991.75x = 1,039,639.66
  5. Step 5: Solve for x
    x = 1,039,639.66/991.75
  6. Step 6: Final answer
    x = 1,048.29

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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.