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Finding the Fourth Proportional to 1,412.92, 1,949.96 and 823.65

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Solution

The fourth proportional to 1,412.92, 1,949.96 and 823.65 is: 1,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.92 : 1,949.96 = 823.65 : x
  2. Step 2: Convert to fraction form
    1,412.92/1,949.96 = 823.65/x
  3. Step 3: Cross multiply
    1,412.92x = 1,949.96 × 823.65
  4. Step 4: Simplify right side
    1,412.92x = 1,606,084.55
  5. Step 5: Solve for x
    x = 1,606,084.55/1,412.92
  6. Step 6: Final answer
    x = 1,136.71

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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.