Home / 1,421.16-2,131.44-680.36

Finding the Fourth Proportional to 1,421.16, 2,131.44 and 680.36

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Solution

The fourth proportional to 1,421.16, 2,131.44 and 680.36 is: 1,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.16 : 2,131.44 = 680.36 : x
  2. Step 2: Convert to fraction form
    1,421.16/2,131.44 = 680.36/x
  3. Step 3: Cross multiply
    1,421.16x = 2,131.44 × 680.36
  4. Step 4: Simplify right side
    1,421.16x = 1,450,146.52
  5. Step 5: Solve for x
    x = 1,450,146.52/1,421.16
  6. Step 6: Final answer
    x = 1,020.40

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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.