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Finding the Fourth Proportional to 716.44, 989.13 and 454.90

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Solution

The fourth proportional to 716.44, 989.13 and 454.90 is: 628.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.44 : 989.13 = 454.90 : x
  2. Step 2: Convert to fraction form
    716.44/989.13 = 454.90/x
  3. Step 3: Cross multiply
    716.44x = 989.13 × 454.90
  4. Step 4: Simplify right side
    716.44x = 449,955.24
  5. Step 5: Solve for x
    x = 449,955.24/716.44
  6. Step 6: Final answer
    x = 628.04

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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.