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Finding the Fourth Proportional to 855.56, 1,180.24 and 575.88

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Solution

The fourth proportional to 855.56, 1,180.24 and 575.88 is: 794.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.56 : 1,180.24 = 575.88 : x
  2. Step 2: Convert to fraction form
    855.56/1,180.24 = 575.88/x
  3. Step 3: Cross multiply
    855.56x = 1,180.24 × 575.88
  4. Step 4: Simplify right side
    855.56x = 679,676.61
  5. Step 5: Solve for x
    x = 679,676.61/855.56
  6. Step 6: Final answer
    x = 794.42

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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.