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Finding the Fourth Proportional to 2,000.00, 2,999.80 and 539.30

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Solution

The fourth proportional to 2,000.00, 2,999.80 and 539.30 is: 808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.00 : 2,999.80 = 539.30 : x
  2. Step 2: Convert to fraction form
    2,000.00/2,999.80 = 539.30/x
  3. Step 3: Cross multiply
    2,000.00x = 2,999.80 × 539.30
  4. Step 4: Simplify right side
    2,000.00x = 1,617,798.29
  5. Step 5: Solve for x
    x = 1,617,798.29/2,000.00
  6. Step 6: Final answer
    x = 808.90

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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.