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Finding the Fourth Proportional to 1,412.73, 1,949.67 and 853.34

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Solution

The fourth proportional to 1,412.73, 1,949.67 and 853.34 is: 1,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.73 : 1,949.67 = 853.34 : x
  2. Step 2: Convert to fraction form
    1,412.73/1,949.67 = 853.34/x
  3. Step 3: Cross multiply
    1,412.73x = 1,949.67 × 853.34
  4. Step 4: Simplify right side
    1,412.73x = 1,663,721.65
  5. Step 5: Solve for x
    x = 1,663,721.65/1,412.73
  6. Step 6: Final answer
    x = 1,177.66

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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.