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Finding the Fourth Proportional to 1,172.91, 1,617.93 and 892.65

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Solution

The fourth proportional to 1,172.91, 1,617.93 and 892.65 is: 1,231.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.91 : 1,617.93 = 892.65 : x
  2. Step 2: Convert to fraction form
    1,172.91/1,617.93 = 892.65/x
  3. Step 3: Cross multiply
    1,172.91x = 1,617.93 × 892.65
  4. Step 4: Simplify right side
    1,172.91x = 1,444,245.21
  5. Step 5: Solve for x
    x = 1,444,245.21/1,172.91
  6. Step 6: Final answer
    x = 1,231.34

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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.