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Finding the Fourth Proportional to 820.46, 1,230.32 and 300.31

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Solution

The fourth proportional to 820.46, 1,230.32 and 300.31 is: 450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.46 : 1,230.32 = 300.31 : x
  2. Step 2: Convert to fraction form
    820.46/1,230.32 = 300.31/x
  3. Step 3: Cross multiply
    820.46x = 1,230.32 × 300.31
  4. Step 4: Simplify right side
    820.46x = 369,475.07
  5. Step 5: Solve for x
    x = 369,475.07/820.46
  6. Step 6: Final answer
    x = 450.33

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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.