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Finding the Fourth Proportional to 855.21, 1,179.79 and 523.57

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Solution

The fourth proportional to 855.21, 1,179.79 and 523.57 is: 722.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.21 : 1,179.79 = 523.57 : x
  2. Step 2: Convert to fraction form
    855.21/1,179.79 = 523.57/x
  3. Step 3: Cross multiply
    855.21x = 1,179.79 × 523.57
  4. Step 4: Simplify right side
    855.21x = 617,702.65
  5. Step 5: Solve for x
    x = 617,702.65/855.21
  6. Step 6: Final answer
    x = 722.28

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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.