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Finding the Fourth Proportional to 667.16, 919.84 and 548.72

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Solution

The fourth proportional to 667.16, 919.84 and 548.72 is: 756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.16 : 919.84 = 548.72 : x
  2. Step 2: Convert to fraction form
    667.16/919.84 = 548.72/x
  3. Step 3: Cross multiply
    667.16x = 919.84 × 548.72
  4. Step 4: Simplify right side
    667.16x = 504,734.60
  5. Step 5: Solve for x
    x = 504,734.60/667.16
  6. Step 6: Final answer
    x = 756.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.