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Finding the Fourth Proportional to 1,328.51, 1,833.44 and 769.16

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Solution

The fourth proportional to 1,328.51, 1,833.44 and 769.16 is: 1,061.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.51 : 1,833.44 = 769.16 : x
  2. Step 2: Convert to fraction form
    1,328.51/1,833.44 = 769.16/x
  3. Step 3: Cross multiply
    1,328.51x = 1,833.44 × 769.16
  4. Step 4: Simplify right side
    1,328.51x = 1,410,195.70
  5. Step 5: Solve for x
    x = 1,410,195.70/1,328.51
  6. Step 6: Final answer
    x = 1,061.49

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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.