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Finding the Fourth Proportional to 1,203.31, 1,659.76 and 830.31

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Solution

The fourth proportional to 1,203.31, 1,659.76 and 830.31 is: 1,145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.31 : 1,659.76 = 830.31 : x
  2. Step 2: Convert to fraction form
    1,203.31/1,659.76 = 830.31/x
  3. Step 3: Cross multiply
    1,203.31x = 1,659.76 × 830.31
  4. Step 4: Simplify right side
    1,203.31x = 1,378,115.33
  5. Step 5: Solve for x
    x = 1,378,115.33/1,203.31
  6. Step 6: Final answer
    x = 1,145.27

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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.