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Finding the Fourth Proportional to 1,168.14, 1,610.70 and 872.91

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Solution

The fourth proportional to 1,168.14, 1,610.70 and 872.91 is: 1,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.14 : 1,610.70 = 872.91 : x
  2. Step 2: Convert to fraction form
    1,168.14/1,610.70 = 872.91/x
  3. Step 3: Cross multiply
    1,168.14x = 1,610.70 × 872.91
  4. Step 4: Simplify right side
    1,168.14x = 1,405,996.14
  5. Step 5: Solve for x
    x = 1,405,996.14/1,168.14
  6. Step 6: Final answer
    x = 1,203.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.