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Finding the Fourth Proportional to 1,597.36, 2,203.68 and 976

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Solution

The fourth proportional to 1,597.36, 2,203.68 and 976 is: 1,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.36 : 2,203.68 = 976 : x
  2. Step 2: Convert to fraction form
    1,597.36/2,203.68 = 976/x
  3. Step 3: Cross multiply
    1,597.36x = 2,203.68 × 976
  4. Step 4: Simplify right side
    1,597.36x = 2,150,791.68
  5. Step 5: Solve for x
    x = 2,150,791.68/1,597.36
  6. Step 6: Final answer
    x = 1,346.47

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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.