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Finding the Fourth Proportional to 557.22, 769.58 and 371.49

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Solution

The fourth proportional to 557.22, 769.58 and 371.49 is: 513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.22 : 769.58 = 371.49 : x
  2. Step 2: Convert to fraction form
    557.22/769.58 = 371.49/x
  3. Step 3: Cross multiply
    557.22x = 769.58 × 371.49
  4. Step 4: Simplify right side
    557.22x = 285,889.42
  5. Step 5: Solve for x
    x = 285,889.42/557.22
  6. Step 6: Final answer
    x = 513.06

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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.