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Finding the Fourth Proportional to 949.23, 1,422.62 and 820.05

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Solution

The fourth proportional to 949.23, 1,422.62 and 820.05 is: 1,229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.23 : 1,422.62 = 820.05 : x
  2. Step 2: Convert to fraction form
    949.23/1,422.62 = 820.05/x
  3. Step 3: Cross multiply
    949.23x = 1,422.62 × 820.05
  4. Step 4: Simplify right side
    949.23x = 1,166,615.43
  5. Step 5: Solve for x
    x = 1,166,615.43/949.23
  6. Step 6: Final answer
    x = 1,229.01

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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.