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Finding the Fourth Proportional to 519.05, 778.62 and 172.30

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Solution

The fourth proportional to 519.05, 778.62 and 172.30 is: 258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.05 : 778.62 = 172.30 : x
  2. Step 2: Convert to fraction form
    519.05/778.62 = 172.30/x
  3. Step 3: Cross multiply
    519.05x = 778.62 × 172.30
  4. Step 4: Simplify right side
    519.05x = 134,156.23
  5. Step 5: Solve for x
    x = 134,156.23/519.05
  6. Step 6: Final answer
    x = 258.46

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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.