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Finding the Fourth Proportional to 1,678.59, 2,519.42 and 857.43

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Solution

The fourth proportional to 1,678.59, 2,519.42 and 857.43 is: 1,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.59 : 2,519.42 = 857.43 : x
  2. Step 2: Convert to fraction form
    1,678.59/2,519.42 = 857.43/x
  3. Step 3: Cross multiply
    1,678.59x = 2,519.42 × 857.43
  4. Step 4: Simplify right side
    1,678.59x = 2,160,222.00
  5. Step 5: Solve for x
    x = 2,160,222.00/1,678.59
  6. Step 6: Final answer
    x = 1,286.93

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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.