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Finding the Fourth Proportional to 520.44, 708.60 and 518.82

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Solution

The fourth proportional to 520.44, 708.60 and 518.82 is: 706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 708.60 = 518.82 : x
  2. Step 2: Convert to fraction form
    520.44/708.60 = 518.82/x
  3. Step 3: Cross multiply
    520.44x = 708.60 × 518.82
  4. Step 4: Simplify right side
    520.44x = 367,635.85
  5. Step 5: Solve for x
    x = 367,635.85/520.44
  6. Step 6: Final answer
    x = 706.39

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.