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Finding the Fourth Proportional to 513.44, 769.32 and 416.12

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Solution

The fourth proportional to 513.44, 769.32 and 416.12 is: 623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 769.32 = 416.12 : x
  2. Step 2: Convert to fraction form
    513.44/769.32 = 416.12/x
  3. Step 3: Cross multiply
    513.44x = 769.32 × 416.12
  4. Step 4: Simplify right side
    513.44x = 320,129.44
  5. Step 5: Solve for x
    x = 320,129.44/513.44
  6. Step 6: Final answer
    x = 623.50

Related Problems

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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.