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Finding the Fourth Proportional to 660.38, 989.62 and 451.95

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Solution

The fourth proportional to 660.38, 989.62 and 451.95 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 989.62 = 451.95 : x
  2. Step 2: Convert to fraction form
    660.38/989.62 = 451.95/x
  3. Step 3: Cross multiply
    660.38x = 989.62 × 451.95
  4. Step 4: Simplify right side
    660.38x = 447,257.63
  5. Step 5: Solve for x
    x = 447,257.63/660.38
  6. Step 6: Final answer
    x = 677.27

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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.