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Finding the Fourth Proportional to 2,000.21, 2,999.30 and 613.22

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Solution

The fourth proportional to 2,000.21, 2,999.30 and 613.22 is: 919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.21 : 2,999.30 = 613.22 : x
  2. Step 2: Convert to fraction form
    2,000.21/2,999.30 = 613.22/x
  3. Step 3: Cross multiply
    2,000.21x = 2,999.30 × 613.22
  4. Step 4: Simplify right side
    2,000.21x = 1,839,212.68
  5. Step 5: Solve for x
    x = 1,839,212.68/2,000.21
  6. Step 6: Final answer
    x = 919.51

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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.