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Finding the Fourth Proportional to 519.26, 774.89 and 463.83

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Solution

The fourth proportional to 519.26, 774.89 and 463.83 is: 692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.26 : 774.89 = 463.83 : x
  2. Step 2: Convert to fraction form
    519.26/774.89 = 463.83/x
  3. Step 3: Cross multiply
    519.26x = 774.89 × 463.83
  4. Step 4: Simplify right side
    519.26x = 359,414.91
  5. Step 5: Solve for x
    x = 359,414.91/519.26
  6. Step 6: Final answer
    x = 692.17

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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.