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Finding the Fourth Proportional to 1,252.13, 1,727.62 and 853.09

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Solution

The fourth proportional to 1,252.13, 1,727.62 and 853.09 is: 1,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.13 : 1,727.62 = 853.09 : x
  2. Step 2: Convert to fraction form
    1,252.13/1,727.62 = 853.09/x
  3. Step 3: Cross multiply
    1,252.13x = 1,727.62 × 853.09
  4. Step 4: Simplify right side
    1,252.13x = 1,473,815.35
  5. Step 5: Solve for x
    x = 1,473,815.35/1,252.13
  6. Step 6: Final answer
    x = 1,177.05

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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.