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Finding the Fourth Proportional to 1,693.31, 2,539.67 and 768.65

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Solution

The fourth proportional to 1,693.31, 2,539.67 and 768.65 is: 1,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.31 : 2,539.67 = 768.65 : x
  2. Step 2: Convert to fraction form
    1,693.31/2,539.67 = 768.65/x
  3. Step 3: Cross multiply
    1,693.31x = 2,539.67 × 768.65
  4. Step 4: Simplify right side
    1,693.31x = 1,952,100.80
  5. Step 5: Solve for x
    x = 1,952,100.80/1,693.31
  6. Step 6: Final answer
    x = 1,152.83

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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.