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Finding the Fourth Proportional to 1,247.80, 1,721.97 and 716.80

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Solution

The fourth proportional to 1,247.80, 1,721.97 and 716.80 is: 989.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.80 : 1,721.97 = 716.80 : x
  2. Step 2: Convert to fraction form
    1,247.80/1,721.97 = 716.80/x
  3. Step 3: Cross multiply
    1,247.80x = 1,721.97 × 716.80
  4. Step 4: Simplify right side
    1,247.80x = 1,234,308.10
  5. Step 5: Solve for x
    x = 1,234,308.10/1,247.80
  6. Step 6: Final answer
    x = 989.19

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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.