Home / 1,407.40-2,107.26-721.96

Finding the Fourth Proportional to 1,407.40, 2,107.26 and 721.96

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Solution

The fourth proportional to 1,407.40, 2,107.26 and 721.96 is: 1,080.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.40 : 2,107.26 = 721.96 : x
  2. Step 2: Convert to fraction form
    1,407.40/2,107.26 = 721.96/x
  3. Step 3: Cross multiply
    1,407.40x = 2,107.26 × 721.96
  4. Step 4: Simplify right side
    1,407.40x = 1,521,357.43
  5. Step 5: Solve for x
    x = 1,521,357.43/1,407.40
  6. Step 6: Final answer
    x = 1,080.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.