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Finding the Fourth Proportional to 577.12, 860.09 and 519.88

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Solution

The fourth proportional to 577.12, 860.09 and 519.88 is: 774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.12 : 860.09 = 519.88 : x
  2. Step 2: Convert to fraction form
    577.12/860.09 = 519.88/x
  3. Step 3: Cross multiply
    577.12x = 860.09 × 519.88
  4. Step 4: Simplify right side
    577.12x = 447,143.59
  5. Step 5: Solve for x
    x = 447,143.59/577.12
  6. Step 6: Final answer
    x = 774.78

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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.