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Finding the Fourth Proportional to 989.14, 1,363.72 and 811.46

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Solution

The fourth proportional to 989.14, 1,363.72 and 811.46 is: 1,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.14 : 1,363.72 = 811.46 : x
  2. Step 2: Convert to fraction form
    989.14/1,363.72 = 811.46/x
  3. Step 3: Cross multiply
    989.14x = 1,363.72 × 811.46
  4. Step 4: Simplify right side
    989.14x = 1,106,604.23
  5. Step 5: Solve for x
    x = 1,106,604.23/989.14
  6. Step 6: Final answer
    x = 1,118.75

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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.