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Finding the Fourth Proportional to 1,680.63, 2,519.33 and 859.29

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Solution

The fourth proportional to 1,680.63, 2,519.33 and 859.29 is: 1,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.63 : 2,519.33 = 859.29 : x
  2. Step 2: Convert to fraction form
    1,680.63/2,519.33 = 859.29/x
  3. Step 3: Cross multiply
    1,680.63x = 2,519.33 × 859.29
  4. Step 4: Simplify right side
    1,680.63x = 2,164,830.78
  5. Step 5: Solve for x
    x = 2,164,830.78/1,680.63
  6. Step 6: Final answer
    x = 1,288.11

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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.