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Finding the Fourth Proportional to 995.24, 1,495.30 and 939.98

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Solution

The fourth proportional to 995.24, 1,495.30 and 939.98 is: 1,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.24 : 1,495.30 = 939.98 : x
  2. Step 2: Convert to fraction form
    995.24/1,495.30 = 939.98/x
  3. Step 3: Cross multiply
    995.24x = 1,495.30 × 939.98
  4. Step 4: Simplify right side
    995.24x = 1,405,552.09
  5. Step 5: Solve for x
    x = 1,405,552.09/995.24
  6. Step 6: Final answer
    x = 1,412.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.