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Finding the Fourth Proportional to 521.89, 778.75 and 518.85

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Solution

The fourth proportional to 521.89, 778.75 and 518.85 is: 774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.89 : 778.75 = 518.85 : x
  2. Step 2: Convert to fraction form
    521.89/778.75 = 518.85/x
  3. Step 3: Cross multiply
    521.89x = 778.75 × 518.85
  4. Step 4: Simplify right side
    521.89x = 404,053.14
  5. Step 5: Solve for x
    x = 404,053.14/521.89
  6. Step 6: Final answer
    x = 774.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.