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Finding the Fourth Proportional to 559.05, 834.47 and 519

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Solution

The fourth proportional to 559.05, 834.47 and 519 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.05 : 834.47 = 519 : x
  2. Step 2: Convert to fraction form
    559.05/834.47 = 519/x
  3. Step 3: Cross multiply
    559.05x = 834.47 × 519
  4. Step 4: Simplify right side
    559.05x = 433,087.34
  5. Step 5: Solve for x
    x = 433,087.34/559.05
  6. Step 6: Final answer
    x = 774.68

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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.