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Finding the Fourth Proportional to 519.62, 779.70 and 276.08

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Solution

The fourth proportional to 519.62, 779.70 and 276.08 is: 414.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.62 : 779.70 = 276.08 : x
  2. Step 2: Convert to fraction form
    519.62/779.70 = 276.08/x
  3. Step 3: Cross multiply
    519.62x = 779.70 × 276.08
  4. Step 4: Simplify right side
    519.62x = 215,259.58
  5. Step 5: Solve for x
    x = 215,259.58/519.62
  6. Step 6: Final answer
    x = 414.26

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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.