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Finding the Fourth Proportional to 1,999.62, 2,999.77 and 612.63

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Solution

The fourth proportional to 1,999.62, 2,999.77 and 612.63 is: 919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.62 : 2,999.77 = 612.63 : x
  2. Step 2: Convert to fraction form
    1,999.62/2,999.77 = 612.63/x
  3. Step 3: Cross multiply
    1,999.62x = 2,999.77 × 612.63
  4. Step 4: Simplify right side
    1,999.62x = 1,837,749.10
  5. Step 5: Solve for x
    x = 1,837,749.10/1,999.62
  6. Step 6: Final answer
    x = 919.05

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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.