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Finding the Fourth Proportional to 1,999.73, 2,999.35 and 538.99

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Solution

The fourth proportional to 1,999.73, 2,999.35 and 538.99 is: 808.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.73 : 2,999.35 = 538.99 : x
  2. Step 2: Convert to fraction form
    1,999.73/2,999.35 = 538.99/x
  3. Step 3: Cross multiply
    1,999.73x = 2,999.35 × 538.99
  4. Step 4: Simplify right side
    1,999.73x = 1,616,624.08
  5. Step 5: Solve for x
    x = 1,616,624.08/1,999.73
  6. Step 6: Final answer
    x = 808.42

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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.