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Finding the Fourth Proportional to 1,680.87, 2,518.99 and 857.41

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Solution

The fourth proportional to 1,680.87, 2,518.99 and 857.41 is: 1,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.87 : 2,518.99 = 857.41 : x
  2. Step 2: Convert to fraction form
    1,680.87/2,518.99 = 857.41/x
  3. Step 3: Cross multiply
    1,680.87x = 2,518.99 × 857.41
  4. Step 4: Simplify right side
    1,680.87x = 2,159,790.33
  5. Step 5: Solve for x
    x = 2,159,790.33/1,680.87
  6. Step 6: Final answer
    x = 1,284.93

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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.