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Finding the Fourth Proportional to 617.13, 849.78 and 511.83

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Solution

The fourth proportional to 617.13, 849.78 and 511.83 is: 704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.13 : 849.78 = 511.83 : x
  2. Step 2: Convert to fraction form
    617.13/849.78 = 511.83/x
  3. Step 3: Cross multiply
    617.13x = 849.78 × 511.83
  4. Step 4: Simplify right side
    617.13x = 434,942.90
  5. Step 5: Solve for x
    x = 434,942.90/617.13
  6. Step 6: Final answer
    x = 704.78

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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.