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Finding the Fourth Proportional to 1,243.92, 1,716.17 and 771.64

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Solution

The fourth proportional to 1,243.92, 1,716.17 and 771.64 is: 1,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.92 : 1,716.17 = 771.64 : x
  2. Step 2: Convert to fraction form
    1,243.92/1,716.17 = 771.64/x
  3. Step 3: Cross multiply
    1,243.92x = 1,716.17 × 771.64
  4. Step 4: Simplify right side
    1,243.92x = 1,324,274.52
  5. Step 5: Solve for x
    x = 1,324,274.52/1,243.92
  6. Step 6: Final answer
    x = 1,064.60

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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.