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Finding the Fourth Proportional to 989.49, 1,364.26 and 723.72

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Solution

The fourth proportional to 989.49, 1,364.26 and 723.72 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.49 : 1,364.26 = 723.72 : x
  2. Step 2: Convert to fraction form
    989.49/1,364.26 = 723.72/x
  3. Step 3: Cross multiply
    989.49x = 1,364.26 × 723.72
  4. Step 4: Simplify right side
    989.49x = 987,338.04
  5. Step 5: Solve for x
    x = 987,338.04/989.49
  6. Step 6: Final answer
    x = 997.83

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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.