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Finding the Fourth Proportional to 513.42, 769.41 and 257.10

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Solution

The fourth proportional to 513.42, 769.41 and 257.10 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.42 : 769.41 = 257.10 : x
  2. Step 2: Convert to fraction form
    513.42/769.41 = 257.10/x
  3. Step 3: Cross multiply
    513.42x = 769.41 × 257.10
  4. Step 4: Simplify right side
    513.42x = 197,815.31
  5. Step 5: Solve for x
    x = 197,815.31/513.42
  6. Step 6: Final answer
    x = 385.29

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.