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Finding the Fourth Proportional to 512.70, 768.24 and 397.42

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Solution

The fourth proportional to 512.70, 768.24 and 397.42 is: 595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.70 : 768.24 = 397.42 : x
  2. Step 2: Convert to fraction form
    512.70/768.24 = 397.42/x
  3. Step 3: Cross multiply
    512.70x = 768.24 × 397.42
  4. Step 4: Simplify right side
    512.70x = 305,313.94
  5. Step 5: Solve for x
    x = 305,313.94/512.70
  6. Step 6: Final answer
    x = 595.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 513.70, 769.74 and 398.42
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.