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Finding the Fourth Proportional to 855.72, 1,180.26 and 575.82

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Solution

The fourth proportional to 855.72, 1,180.26 and 575.82 is: 794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.72 : 1,180.26 = 575.82 : x
  2. Step 2: Convert to fraction form
    855.72/1,180.26 = 575.82/x
  3. Step 3: Cross multiply
    855.72x = 1,180.26 × 575.82
  4. Step 4: Simplify right side
    855.72x = 679,617.31
  5. Step 5: Solve for x
    x = 679,617.31/855.72
  6. Step 6: Final answer
    x = 794.21

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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.