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Finding the Fourth Proportional to 1,786.54, 2,680.33 and 554.31

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Solution

The fourth proportional to 1,786.54, 2,680.33 and 554.31 is: 831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.54 : 2,680.33 = 554.31 : x
  2. Step 2: Convert to fraction form
    1,786.54/2,680.33 = 554.31/x
  3. Step 3: Cross multiply
    1,786.54x = 2,680.33 × 554.31
  4. Step 4: Simplify right side
    1,786.54x = 1,485,721.29
  5. Step 5: Solve for x
    x = 1,485,721.29/1,786.54
  6. Step 6: Final answer
    x = 831.62

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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.