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Finding the Fourth Proportional to 512.21, 766.03 and 454.80

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Solution

The fourth proportional to 512.21, 766.03 and 454.80 is: 680.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.21 : 766.03 = 454.80 : x
  2. Step 2: Convert to fraction form
    512.21/766.03 = 454.80/x
  3. Step 3: Cross multiply
    512.21x = 766.03 × 454.80
  4. Step 4: Simplify right side
    512.21x = 348,390.44
  5. Step 5: Solve for x
    x = 348,390.44/512.21
  6. Step 6: Final answer
    x = 680.17

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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.