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Finding the Fourth Proportional to 514.12, 771.06 and 172.12

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Solution

The fourth proportional to 514.12, 771.06 and 172.12 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 771.06 = 172.12 : x
  2. Step 2: Convert to fraction form
    514.12/771.06 = 172.12/x
  3. Step 3: Cross multiply
    514.12x = 771.06 × 172.12
  4. Step 4: Simplify right side
    514.12x = 132,714.85
  5. Step 5: Solve for x
    x = 132,714.85/514.12
  6. Step 6: Final answer
    x = 258.14

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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.