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Finding the Fourth Proportional to 854.22, 1,179.54 and 575.38

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Solution

The fourth proportional to 854.22, 1,179.54 and 575.38 is: 794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,179.54 = 575.38 : x
  2. Step 2: Convert to fraction form
    854.22/1,179.54 = 575.38/x
  3. Step 3: Cross multiply
    854.22x = 1,179.54 × 575.38
  4. Step 4: Simplify right side
    854.22x = 678,685.20
  5. Step 5: Solve for x
    x = 678,685.20/854.22
  6. Step 6: Final answer
    x = 794.51

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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.