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Finding the Fourth Proportional to 820.23, 1,131.94 and 447.21

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Solution

The fourth proportional to 820.23, 1,131.94 and 447.21 is: 617.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.23 : 1,131.94 = 447.21 : x
  2. Step 2: Convert to fraction form
    820.23/1,131.94 = 447.21/x
  3. Step 3: Cross multiply
    820.23x = 1,131.94 × 447.21
  4. Step 4: Simplify right side
    820.23x = 506,215.45
  5. Step 5: Solve for x
    x = 506,215.45/820.23
  6. Step 6: Final answer
    x = 617.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.