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Finding the Fourth Proportional to 1,272.97, 1,756.54 and 713.40

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Solution

The fourth proportional to 1,272.97, 1,756.54 and 713.40 is: 984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.97 : 1,756.54 = 713.40 : x
  2. Step 2: Convert to fraction form
    1,272.97/1,756.54 = 713.40/x
  3. Step 3: Cross multiply
    1,272.97x = 1,756.54 × 713.40
  4. Step 4: Simplify right side
    1,272.97x = 1,253,115.64
  5. Step 5: Solve for x
    x = 1,253,115.64/1,272.97
  6. Step 6: Final answer
    x = 984.41

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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.