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Finding the Fourth Proportional to 997.36, 1,375.68 and 583.36

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Solution

The fourth proportional to 997.36, 1,375.68 and 583.36 is: 804.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.36 : 1,375.68 = 583.36 : x
  2. Step 2: Convert to fraction form
    997.36/1,375.68 = 583.36/x
  3. Step 3: Cross multiply
    997.36x = 1,375.68 × 583.36
  4. Step 4: Simplify right side
    997.36x = 802,516.68
  5. Step 5: Solve for x
    x = 802,516.68/997.36
  6. Step 6: Final answer
    x = 804.64

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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.