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Finding the Fourth Proportional to 1,866.29, 2,800.37 and 771.44

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Solution

The fourth proportional to 1,866.29, 2,800.37 and 771.44 is: 1,157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.29 : 2,800.37 = 771.44 : x
  2. Step 2: Convert to fraction form
    1,866.29/2,800.37 = 771.44/x
  3. Step 3: Cross multiply
    1,866.29x = 2,800.37 × 771.44
  4. Step 4: Simplify right side
    1,866.29x = 2,160,305.36
  5. Step 5: Solve for x
    x = 2,160,305.36/1,866.29
  6. Step 6: Final answer
    x = 1,157.54

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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.