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Finding the Fourth Proportional to 1,200.97, 1,657.97 and 852.49

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Solution

The fourth proportional to 1,200.97, 1,657.97 and 852.49 is: 1,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.97 : 1,657.97 = 852.49 : x
  2. Step 2: Convert to fraction form
    1,200.97/1,657.97 = 852.49/x
  3. Step 3: Cross multiply
    1,200.97x = 1,657.97 × 852.49
  4. Step 4: Simplify right side
    1,200.97x = 1,413,398.58
  5. Step 5: Solve for x
    x = 1,413,398.58/1,200.97
  6. Step 6: Final answer
    x = 1,176.88

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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.