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Finding the Fourth Proportional to 995.56, 1,490.26 and 847.94

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Solution

The fourth proportional to 995.56, 1,490.26 and 847.94 is: 1,269.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.56 : 1,490.26 = 847.94 : x
  2. Step 2: Convert to fraction form
    995.56/1,490.26 = 847.94/x
  3. Step 3: Cross multiply
    995.56x = 1,490.26 × 847.94
  4. Step 4: Simplify right side
    995.56x = 1,263,651.06
  5. Step 5: Solve for x
    x = 1,263,651.06/995.56
  6. Step 6: Final answer
    x = 1,269.29

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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.