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Finding the Fourth Proportional to 2,000.50, 2,999.99 and 960.20

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Solution

The fourth proportional to 2,000.50, 2,999.99 and 960.20 is: 1,439.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.50 : 2,999.99 = 960.20 : x
  2. Step 2: Convert to fraction form
    2,000.50/2,999.99 = 960.20/x
  3. Step 3: Cross multiply
    2,000.50x = 2,999.99 × 960.20
  4. Step 4: Simplify right side
    2,000.50x = 2,880,600.52
  5. Step 5: Solve for x
    x = 2,880,600.52/2,000.50
  6. Step 6: Final answer
    x = 1,439.94

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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.