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Finding the Fourth Proportional to 557.86, 769.87 and 371.03

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Solution

The fourth proportional to 557.86, 769.87 and 371.03 is: 512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.86 : 769.87 = 371.03 : x
  2. Step 2: Convert to fraction form
    557.86/769.87 = 371.03/x
  3. Step 3: Cross multiply
    557.86x = 769.87 × 371.03
  4. Step 4: Simplify right side
    557.86x = 285,644.87
  5. Step 5: Solve for x
    x = 285,644.87/557.86
  6. Step 6: Final answer
    x = 512.04

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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.