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Finding the Fourth Proportional to 851.44, 1,174.44 and 557.05

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Solution

The fourth proportional to 851.44, 1,174.44 and 557.05 is: 768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.44 : 1,174.44 = 557.05 : x
  2. Step 2: Convert to fraction form
    851.44/1,174.44 = 557.05/x
  3. Step 3: Cross multiply
    851.44x = 1,174.44 × 557.05
  4. Step 4: Simplify right side
    851.44x = 654,221.80
  5. Step 5: Solve for x
    x = 654,221.80/851.44
  6. Step 6: Final answer
    x = 768.37

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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.