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Finding the Fourth Proportional to 522.67, 779.75 and 519.01

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Solution

The fourth proportional to 522.67, 779.75 and 519.01 is: 774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.67 : 779.75 = 519.01 : x
  2. Step 2: Convert to fraction form
    522.67/779.75 = 519.01/x
  3. Step 3: Cross multiply
    522.67x = 779.75 × 519.01
  4. Step 4: Simplify right side
    522.67x = 404,698.05
  5. Step 5: Solve for x
    x = 404,698.05/522.67
  6. Step 6: Final answer
    x = 774.29

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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.