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Finding the Fourth Proportional to 2,000.78, 2,999.23 and 767.24

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Solution

The fourth proportional to 2,000.78, 2,999.23 and 767.24 is: 1,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.78 : 2,999.23 = 767.24 : x
  2. Step 2: Convert to fraction form
    2,000.78/2,999.23 = 767.24/x
  3. Step 3: Cross multiply
    2,000.78x = 2,999.23 × 767.24
  4. Step 4: Simplify right side
    2,000.78x = 2,301,129.23
  5. Step 5: Solve for x
    x = 2,301,129.23/2,000.78
  6. Step 6: Final answer
    x = 1,150.12

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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.