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Finding the Fourth Proportional to 995.26, 1,371.70 and 880.69

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Solution

The fourth proportional to 995.26, 1,371.70 and 880.69 is: 1,213.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.26 : 1,371.70 = 880.69 : x
  2. Step 2: Convert to fraction form
    995.26/1,371.70 = 880.69/x
  3. Step 3: Cross multiply
    995.26x = 1,371.70 × 880.69
  4. Step 4: Simplify right side
    995.26x = 1,208,038.07
  5. Step 5: Solve for x
    x = 1,208,038.07/995.26
  6. Step 6: Final answer
    x = 1,213.79

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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.