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Finding the Fourth Proportional to 519.72, 779.04 and 357.36

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Solution

The fourth proportional to 519.72, 779.04 and 357.36 is: 535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 779.04 = 357.36 : x
  2. Step 2: Convert to fraction form
    519.72/779.04 = 357.36/x
  3. Step 3: Cross multiply
    519.72x = 779.04 × 357.36
  4. Step 4: Simplify right side
    519.72x = 278,397.73
  5. Step 5: Solve for x
    x = 278,397.73/519.72
  6. Step 6: Final answer
    x = 535.67

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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.