Home / 820.14-1,230.27-333.18

Finding the Fourth Proportional to 820.14, 1,230.27 and 333.18

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Solution

The fourth proportional to 820.14, 1,230.27 and 333.18 is: 499.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.14 : 1,230.27 = 333.18 : x
  2. Step 2: Convert to fraction form
    820.14/1,230.27 = 333.18/x
  3. Step 3: Cross multiply
    820.14x = 1,230.27 × 333.18
  4. Step 4: Simplify right side
    820.14x = 409,901.36
  5. Step 5: Solve for x
    x = 409,901.36/820.14
  6. Step 6: Final answer
    x = 499.79

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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.