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Finding the Fourth Proportional to 820.30, 1,230.45 and 333.24

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Solution

The fourth proportional to 820.30, 1,230.45 and 333.24 is: 499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,230.45 = 333.24 : x
  2. Step 2: Convert to fraction form
    820.30/1,230.45 = 333.24/x
  3. Step 3: Cross multiply
    820.30x = 1,230.45 × 333.24
  4. Step 4: Simplify right side
    820.30x = 410,029.29
  5. Step 5: Solve for x
    x = 410,029.29/820.30
  6. Step 6: Final answer
    x = 499.85

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1.5x scale

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.