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Finding the Fourth Proportional to 1,272.71, 1,756.45 and 713.17

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Solution

The fourth proportional to 1,272.71, 1,756.45 and 713.17 is: 984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.71 : 1,756.45 = 713.17 : x
  2. Step 2: Convert to fraction form
    1,272.71/1,756.45 = 713.17/x
  3. Step 3: Cross multiply
    1,272.71x = 1,756.45 × 713.17
  4. Step 4: Simplify right side
    1,272.71x = 1,252,643.88
  5. Step 5: Solve for x
    x = 1,252,643.88/1,272.71
  6. Step 6: Final answer
    x = 984.23

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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.