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Finding the Fourth Proportional to 721.58, 1,076.63 and 668.52

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Solution

The fourth proportional to 721.58, 1,076.63 and 668.52 is: 997.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.58 : 1,076.63 = 668.52 : x
  2. Step 2: Convert to fraction form
    721.58/1,076.63 = 668.52/x
  3. Step 3: Cross multiply
    721.58x = 1,076.63 × 668.52
  4. Step 4: Simplify right side
    721.58x = 719,745.35
  5. Step 5: Solve for x
    x = 719,745.35/721.58
  6. Step 6: Final answer
    x = 997.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.