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Finding the Fourth Proportional to 520.52, 779.70 and 381.60

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Solution

The fourth proportional to 520.52, 779.70 and 381.60 is: 571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.52 : 779.70 = 381.60 : x
  2. Step 2: Convert to fraction form
    520.52/779.70 = 381.60/x
  3. Step 3: Cross multiply
    520.52x = 779.70 × 381.60
  4. Step 4: Simplify right side
    520.52x = 297,533.52
  5. Step 5: Solve for x
    x = 297,533.52/520.52
  6. Step 6: Final answer
    x = 571.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.