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Finding the Fourth Proportional to 519.49, 779.26 and 172.86

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Solution

The fourth proportional to 519.49, 779.26 and 172.86 is: 259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 779.26 = 172.86 : x
  2. Step 2: Convert to fraction form
    519.49/779.26 = 172.86/x
  3. Step 3: Cross multiply
    519.49x = 779.26 × 172.86
  4. Step 4: Simplify right side
    519.49x = 134,700.94
  5. Step 5: Solve for x
    x = 134,700.94/519.49
  6. Step 6: Final answer
    x = 259.29

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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.