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Finding the Fourth Proportional to 1,865.64, 2,796.31 and 768.65

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Solution

The fourth proportional to 1,865.64, 2,796.31 and 768.65 is: 1,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.64 : 2,796.31 = 768.65 : x
  2. Step 2: Convert to fraction form
    1,865.64/2,796.31 = 768.65/x
  3. Step 3: Cross multiply
    1,865.64x = 2,796.31 × 768.65
  4. Step 4: Simplify right side
    1,865.64x = 2,149,367.78
  5. Step 5: Solve for x
    x = 2,149,367.78/1,865.64
  6. Step 6: Final answer
    x = 1,152.08

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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.