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Finding the Fourth Proportional to 989.09, 1,364.89 and 611.15

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Solution

The fourth proportional to 989.09, 1,364.89 and 611.15 is: 843.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.09 : 1,364.89 = 611.15 : x
  2. Step 2: Convert to fraction form
    989.09/1,364.89 = 611.15/x
  3. Step 3: Cross multiply
    989.09x = 1,364.89 × 611.15
  4. Step 4: Simplify right side
    989.09x = 834,144.17
  5. Step 5: Solve for x
    x = 834,144.17/989.09
  6. Step 6: Final answer
    x = 843.35

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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.