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Finding the Fourth Proportional to 2,000.63, 3,000.99 and 539.93

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Solution

The fourth proportional to 2,000.63, 3,000.99 and 539.93 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.63 : 3,000.99 = 539.93 : x
  2. Step 2: Convert to fraction form
    2,000.63/3,000.99 = 539.93/x
  3. Step 3: Cross multiply
    2,000.63x = 3,000.99 × 539.93
  4. Step 4: Simplify right side
    2,000.63x = 1,620,324.53
  5. Step 5: Solve for x
    x = 1,620,324.53/2,000.63
  6. Step 6: Final answer
    x = 809.91

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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.