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Finding the Fourth Proportional to 1,252.11, 1,728.10 and 721.02

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Solution

The fourth proportional to 1,252.11, 1,728.10 and 721.02 is: 995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.11 : 1,728.10 = 721.02 : x
  2. Step 2: Convert to fraction form
    1,252.11/1,728.10 = 721.02/x
  3. Step 3: Cross multiply
    1,252.11x = 1,728.10 × 721.02
  4. Step 4: Simplify right side
    1,252.11x = 1,245,994.66
  5. Step 5: Solve for x
    x = 1,245,994.66/1,252.11
  6. Step 6: Final answer
    x = 995.12

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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.