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Finding the Fourth Proportional to 1,296.74, 1,786.08 and 997.41

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Solution

The fourth proportional to 1,296.74, 1,786.08 and 997.41 is: 1,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.74 : 1,786.08 = 997.41 : x
  2. Step 2: Convert to fraction form
    1,296.74/1,786.08 = 997.41/x
  3. Step 3: Cross multiply
    1,296.74x = 1,786.08 × 997.41
  4. Step 4: Simplify right side
    1,296.74x = 1,781,464.49
  5. Step 5: Solve for x
    x = 1,781,464.49/1,296.74
  6. Step 6: Final answer
    x = 1,373.80

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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.