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Finding the Fourth Proportional to 855.10, 1,179.44 and 519

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Solution

The fourth proportional to 855.10, 1,179.44 and 519 is: 715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.10 : 1,179.44 = 519 : x
  2. Step 2: Convert to fraction form
    855.10/1,179.44 = 519/x
  3. Step 3: Cross multiply
    855.10x = 1,179.44 × 519
  4. Step 4: Simplify right side
    855.10x = 612,129.36
  5. Step 5: Solve for x
    x = 612,129.36/855.10
  6. Step 6: Final answer
    x = 715.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.