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Finding the Fourth Proportional to 820.94, 1,231.47 and 301.05

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Solution

The fourth proportional to 820.94, 1,231.47 and 301.05 is: 451.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.94 : 1,231.47 = 301.05 : x
  2. Step 2: Convert to fraction form
    820.94/1,231.47 = 301.05/x
  3. Step 3: Cross multiply
    820.94x = 1,231.47 × 301.05
  4. Step 4: Simplify right side
    820.94x = 370,734.04
  5. Step 5: Solve for x
    x = 370,734.04/820.94
  6. Step 6: Final answer
    x = 451.60

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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.