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Finding the Fourth Proportional to 989.46, 1,366.09 and 635.53

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Solution

The fourth proportional to 989.46, 1,366.09 and 635.53 is: 877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.46 : 1,366.09 = 635.53 : x
  2. Step 2: Convert to fraction form
    989.46/1,366.09 = 635.53/x
  3. Step 3: Cross multiply
    989.46x = 1,366.09 × 635.53
  4. Step 4: Simplify right side
    989.46x = 868,191.18
  5. Step 5: Solve for x
    x = 868,191.18/989.46
  6. Step 6: Final answer
    x = 877.44

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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.