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Finding the Fourth Proportional to 820.45, 1,230.65 and 333.49

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Solution

The fourth proportional to 820.45, 1,230.65 and 333.49 is: 500.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.45 : 1,230.65 = 333.49 : x
  2. Step 2: Convert to fraction form
    820.45/1,230.65 = 333.49/x
  3. Step 3: Cross multiply
    820.45x = 1,230.65 × 333.49
  4. Step 4: Simplify right side
    820.45x = 410,404.72
  5. Step 5: Solve for x
    x = 410,404.72/820.45
  6. Step 6: Final answer
    x = 500.22

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Double scale
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Similar ratio
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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.