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Finding the Fourth Proportional to 1,203.96, 1,661.57 and 731.74

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Solution

The fourth proportional to 1,203.96, 1,661.57 and 731.74 is: 1,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.96 : 1,661.57 = 731.74 : x
  2. Step 2: Convert to fraction form
    1,203.96/1,661.57 = 731.74/x
  3. Step 3: Cross multiply
    1,203.96x = 1,661.57 × 731.74
  4. Step 4: Simplify right side
    1,203.96x = 1,215,837.23
  5. Step 5: Solve for x
    x = 1,215,837.23/1,203.96
  6. Step 6: Final answer
    x = 1,009.87

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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.