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Finding the Fourth Proportional to 981.37, 1,353.83 and 627.11

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Solution

The fourth proportional to 981.37, 1,353.83 and 627.11 is: 865.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.37 : 1,353.83 = 627.11 : x
  2. Step 2: Convert to fraction form
    981.37/1,353.83 = 627.11/x
  3. Step 3: Cross multiply
    981.37x = 1,353.83 × 627.11
  4. Step 4: Simplify right side
    981.37x = 848,995.38
  5. Step 5: Solve for x
    x = 848,995.38/981.37
  6. Step 6: Final answer
    x = 865.11

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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.