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Finding the Fourth Proportional to 725.44, 995.86 and 707.32

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Solution

The fourth proportional to 725.44, 995.86 and 707.32 is: 970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.44 : 995.86 = 707.32 : x
  2. Step 2: Convert to fraction form
    725.44/995.86 = 707.32/x
  3. Step 3: Cross multiply
    725.44x = 995.86 × 707.32
  4. Step 4: Simplify right side
    725.44x = 704,391.70
  5. Step 5: Solve for x
    x = 704,391.70/725.44
  6. Step 6: Final answer
    x = 970.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.