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Finding the Fourth Proportional to 1,274.97, 1,757.93 and 991.47

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Solution

The fourth proportional to 1,274.97, 1,757.93 and 991.47 is: 1,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.97 : 1,757.93 = 991.47 : x
  2. Step 2: Convert to fraction form
    1,274.97/1,757.93 = 991.47/x
  3. Step 3: Cross multiply
    1,274.97x = 1,757.93 × 991.47
  4. Step 4: Simplify right side
    1,274.97x = 1,742,929.90
  5. Step 5: Solve for x
    x = 1,742,929.90/1,274.97
  6. Step 6: Final answer
    x = 1,367.04

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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.