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Finding the Fourth Proportional to 994.56, 1,489.40 and 820.16

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Solution

The fourth proportional to 994.56, 1,489.40 and 820.16 is: 1,228.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.56 : 1,489.40 = 820.16 : x
  2. Step 2: Convert to fraction form
    994.56/1,489.40 = 820.16/x
  3. Step 3: Cross multiply
    994.56x = 1,489.40 × 820.16
  4. Step 4: Simplify right side
    994.56x = 1,221,546.30
  5. Step 5: Solve for x
    x = 1,221,546.30/994.56
  6. Step 6: Final answer
    x = 1,228.23

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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.