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Finding the Fourth Proportional to 721.60, 997.20 and 546.64

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Solution

The fourth proportional to 721.60, 997.20 and 546.64 is: 755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.60 : 997.20 = 546.64 : x
  2. Step 2: Convert to fraction form
    721.60/997.20 = 546.64/x
  3. Step 3: Cross multiply
    721.60x = 997.20 × 546.64
  4. Step 4: Simplify right side
    721.60x = 545,109.41
  5. Step 5: Solve for x
    x = 545,109.41/721.60
  6. Step 6: Final answer
    x = 755.42

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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.