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Finding the Fourth Proportional to 2,000.78, 3,001.23 and 539.93

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Solution

The fourth proportional to 2,000.78, 3,001.23 and 539.93 is: 809.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.78 : 3,001.23 = 539.93 : x
  2. Step 2: Convert to fraction form
    2,000.78/3,001.23 = 539.93/x
  3. Step 3: Cross multiply
    2,000.78x = 3,001.23 × 539.93
  4. Step 4: Simplify right side
    2,000.78x = 1,620,461.62
  5. Step 5: Solve for x
    x = 1,620,461.62/2,000.78
  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.