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Finding the Fourth Proportional to 518.98, 778.38 and 172.34

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Solution

The fourth proportional to 518.98, 778.38 and 172.34 is: 258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.98 : 778.38 = 172.34 : x
  2. Step 2: Convert to fraction form
    518.98/778.38 = 172.34/x
  3. Step 3: Cross multiply
    518.98x = 778.38 × 172.34
  4. Step 4: Simplify right side
    518.98x = 134,146.01
  5. Step 5: Solve for x
    x = 134,146.01/518.98
  6. Step 6: Final answer
    x = 258.48

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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.