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Finding the Fourth Proportional to 1,786.72, 2,680 and 488.23

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Solution

The fourth proportional to 1,786.72, 2,680 and 488.23 is: 732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.72 : 2,680 = 488.23 : x
  2. Step 2: Convert to fraction form
    1,786.72/2,680 = 488.23/x
  3. Step 3: Cross multiply
    1,786.72x = 2,680 × 488.23
  4. Step 4: Simplify right side
    1,786.72x = 1,308,456.40
  5. Step 5: Solve for x
    x = 1,308,456.40/1,786.72
  6. Step 6: Final answer
    x = 732.32

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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.