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Finding the Fourth Proportional to 1,328.78, 1,833.54 and 769.26

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Solution

The fourth proportional to 1,328.78, 1,833.54 and 769.26 is: 1,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.78 : 1,833.54 = 769.26 : x
  2. Step 2: Convert to fraction form
    1,328.78/1,833.54 = 769.26/x
  3. Step 3: Cross multiply
    1,328.78x = 1,833.54 × 769.26
  4. Step 4: Simplify right side
    1,328.78x = 1,410,468.98
  5. Step 5: Solve for x
    x = 1,410,468.98/1,328.78
  6. Step 6: Final answer
    x = 1,061.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.