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Finding the Fourth Proportional to 618.20, 925.24 and 520.82

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Solution

The fourth proportional to 618.20, 925.24 and 520.82 is: 779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.20 : 925.24 = 520.82 : x
  2. Step 2: Convert to fraction form
    618.20/925.24 = 520.82/x
  3. Step 3: Cross multiply
    618.20x = 925.24 × 520.82
  4. Step 4: Simplify right side
    618.20x = 481,883.50
  5. Step 5: Solve for x
    x = 481,883.50/618.20
  6. Step 6: Final answer
    x = 779.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.