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Finding the Fourth Proportional to 855.75, 1,180.62 and 540.48

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Solution

The fourth proportional to 855.75, 1,180.62 and 540.48 is: 745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,180.62 = 540.48 : x
  2. Step 2: Convert to fraction form
    855.75/1,180.62 = 540.48/x
  3. Step 3: Cross multiply
    855.75x = 1,180.62 × 540.48
  4. Step 4: Simplify right side
    855.75x = 638,101.50
  5. Step 5: Solve for x
    x = 638,101.50/855.75
  6. Step 6: Final answer
    x = 745.66

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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.