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Finding the Fourth Proportional to 518.82, 778.23 and 172.20

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Solution

The fourth proportional to 518.82, 778.23 and 172.20 is: 258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 778.23 = 172.20 : x
  2. Step 2: Convert to fraction form
    518.82/778.23 = 172.20/x
  3. Step 3: Cross multiply
    518.82x = 778.23 × 172.20
  4. Step 4: Simplify right side
    518.82x = 134,011.21
  5. Step 5: Solve for x
    x = 134,011.21/518.82
  6. Step 6: Final answer
    x = 258.30

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Double scale
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Similar ratio
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1.5x scale

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.