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Finding the Fourth Proportional to 989.46, 1,364.55 and 849.53

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Solution

The fourth proportional to 989.46, 1,364.55 and 849.53 is: 1,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.46 : 1,364.55 = 849.53 : x
  2. Step 2: Convert to fraction form
    989.46/1,364.55 = 849.53/x
  3. Step 3: Cross multiply
    989.46x = 1,364.55 × 849.53
  4. Step 4: Simplify right side
    989.46x = 1,159,229.57
  5. Step 5: Solve for x
    x = 1,159,229.57/989.46
  6. Step 6: Final answer
    x = 1,171.58

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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.