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Finding the Fourth Proportional to 547.67, 820.01 and 512.13

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Solution

The fourth proportional to 547.67, 820.01 and 512.13 is: 766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.67 : 820.01 = 512.13 : x
  2. Step 2: Convert to fraction form
    547.67/820.01 = 512.13/x
  3. Step 3: Cross multiply
    547.67x = 820.01 × 512.13
  4. Step 4: Simplify right side
    547.67x = 419,949.16
  5. Step 5: Solve for x
    x = 419,949.16/547.67
  6. Step 6: Final answer
    x = 766.80

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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.