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Finding the Fourth Proportional to 716.64, 1,073.52 and 443.28

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Solution

The fourth proportional to 716.64, 1,073.52 and 443.28 is: 664.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 1,073.52 = 443.28 : x
  2. Step 2: Convert to fraction form
    716.64/1,073.52 = 443.28/x
  3. Step 3: Cross multiply
    716.64x = 1,073.52 × 443.28
  4. Step 4: Simplify right side
    716.64x = 475,869.95
  5. Step 5: Solve for x
    x = 475,869.95/716.64
  6. Step 6: Final answer
    x = 664.03

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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.