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Finding the Fourth Proportional to 513.18, 769.77 and 256.86

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Solution

The fourth proportional to 513.18, 769.77 and 256.86 is: 385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 769.77 = 256.86 : x
  2. Step 2: Convert to fraction form
    513.18/769.77 = 256.86/x
  3. Step 3: Cross multiply
    513.18x = 769.77 × 256.86
  4. Step 4: Simplify right side
    513.18x = 197,723.12
  5. Step 5: Solve for x
    x = 197,723.12/513.18
  6. Step 6: Final answer
    x = 385.29

Related Problems

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Half scale
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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.