Home / 1,420.26-2,131.20-689.82

Finding the Fourth Proportional to 1,420.26, 2,131.20 and 689.82

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Solution

The fourth proportional to 1,420.26, 2,131.20 and 689.82 is: 1,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.26 : 2,131.20 = 689.82 : x
  2. Step 2: Convert to fraction form
    1,420.26/2,131.20 = 689.82/x
  3. Step 3: Cross multiply
    1,420.26x = 2,131.20 × 689.82
  4. Step 4: Simplify right side
    1,420.26x = 1,470,144.38
  5. Step 5: Solve for x
    x = 1,470,144.38/1,420.26
  6. Step 6: Final answer
    x = 1,035.12

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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.