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Finding the Fourth Proportional to 1,007.82, 1,511.70 and 680.91

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Solution

The fourth proportional to 1,007.82, 1,511.70 and 680.91 is: 1,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.82 : 1,511.70 = 680.91 : x
  2. Step 2: Convert to fraction form
    1,007.82/1,511.70 = 680.91/x
  3. Step 3: Cross multiply
    1,007.82x = 1,511.70 × 680.91
  4. Step 4: Simplify right side
    1,007.82x = 1,029,331.65
  5. Step 5: Solve for x
    x = 1,029,331.65/1,007.82
  6. Step 6: Final answer
    x = 1,021.34

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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.