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Finding the Fourth Proportional to 1,324.93, 1,828.32 and 765.31

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Solution

The fourth proportional to 1,324.93, 1,828.32 and 765.31 is: 1,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.93 : 1,828.32 = 765.31 : x
  2. Step 2: Convert to fraction form
    1,324.93/1,828.32 = 765.31/x
  3. Step 3: Cross multiply
    1,324.93x = 1,828.32 × 765.31
  4. Step 4: Simplify right side
    1,324.93x = 1,399,229.44
  5. Step 5: Solve for x
    x = 1,399,229.44/1,324.93
  6. Step 6: Final answer
    x = 1,056.08

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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.