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Finding the Fourth Proportional to 995.09, 1,373.67 and 759.05

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Solution

The fourth proportional to 995.09, 1,373.67 and 759.05 is: 1,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.09 : 1,373.67 = 759.05 : x
  2. Step 2: Convert to fraction form
    995.09/1,373.67 = 759.05/x
  3. Step 3: Cross multiply
    995.09x = 1,373.67 × 759.05
  4. Step 4: Simplify right side
    995.09x = 1,042,684.21
  5. Step 5: Solve for x
    x = 1,042,684.21/995.09
  6. Step 6: Final answer
    x = 1,047.83

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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.