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Finding the Fourth Proportional to 519.40, 779.91 and 276.40

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Solution

The fourth proportional to 519.40, 779.91 and 276.40 is: 415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.40 : 779.91 = 276.40 : x
  2. Step 2: Convert to fraction form
    519.40/779.91 = 276.40/x
  3. Step 3: Cross multiply
    519.40x = 779.91 × 276.40
  4. Step 4: Simplify right side
    519.40x = 215,567.12
  5. Step 5: Solve for x
    x = 215,567.12/519.40
  6. Step 6: Final answer
    x = 415.03

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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.