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Finding the Fourth Proportional to 514.27, 771.13 and 385.75

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Solution

The fourth proportional to 514.27, 771.13 and 385.75 is: 578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.27 : 771.13 = 385.75 : x
  2. Step 2: Convert to fraction form
    514.27/771.13 = 385.75/x
  3. Step 3: Cross multiply
    514.27x = 771.13 × 385.75
  4. Step 4: Simplify right side
    514.27x = 297,463.40
  5. Step 5: Solve for x
    x = 297,463.40/514.27
  6. Step 6: Final answer
    x = 578.42

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.