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Finding the Fourth Proportional to 512.20, 768.30 and 454.49

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Solution

The fourth proportional to 512.20, 768.30 and 454.49 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 768.30 = 454.49 : x
  2. Step 2: Convert to fraction form
    512.20/768.30 = 454.49/x
  3. Step 3: Cross multiply
    512.20x = 768.30 × 454.49
  4. Step 4: Simplify right side
    512.20x = 349,184.67
  5. Step 5: Solve for x
    x = 349,184.67/512.20
  6. Step 6: Final answer
    x = 681.74

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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.