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Finding the Fourth Proportional to 1,272.74, 1,756.48 and 713.20

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Solution

The fourth proportional to 1,272.74, 1,756.48 and 713.20 is: 984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.74 : 1,756.48 = 713.20 : x
  2. Step 2: Convert to fraction form
    1,272.74/1,756.48 = 713.20/x
  3. Step 3: Cross multiply
    1,272.74x = 1,756.48 × 713.20
  4. Step 4: Simplify right side
    1,272.74x = 1,252,721.54
  5. Step 5: Solve for x
    x = 1,252,721.54/1,272.74
  6. Step 6: Final answer
    x = 984.27

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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.