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Finding the Fourth Proportional to 995.56, 1,490.90 and 821.16

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Solution

The fourth proportional to 995.56, 1,490.90 and 821.16 is: 1,229.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.56 : 1,490.90 = 821.16 : x
  2. Step 2: Convert to fraction form
    995.56/1,490.90 = 821.16/x
  3. Step 3: Cross multiply
    995.56x = 1,490.90 × 821.16
  4. Step 4: Simplify right side
    995.56x = 1,224,267.44
  5. Step 5: Solve for x
    x = 1,224,267.44/995.56
  6. Step 6: Final answer
    x = 1,229.73

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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.