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Finding the Fourth Proportional to 837.48, 1,247.73 and 796.17

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Solution

The fourth proportional to 837.48, 1,247.73 and 796.17 is: 1,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.48 : 1,247.73 = 796.17 : x
  2. Step 2: Convert to fraction form
    837.48/1,247.73 = 796.17/x
  3. Step 3: Cross multiply
    837.48x = 1,247.73 × 796.17
  4. Step 4: Simplify right side
    837.48x = 993,405.19
  5. Step 5: Solve for x
    x = 993,405.19/837.48
  6. Step 6: Final answer
    x = 1,186.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.