Home / 1,418.14-2,128.43-688.23

Finding the Fourth Proportional to 1,418.14, 2,128.43 and 688.23

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Solution

The fourth proportional to 1,418.14, 2,128.43 and 688.23 is: 1,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.14 : 2,128.43 = 688.23 : x
  2. Step 2: Convert to fraction form
    1,418.14/2,128.43 = 688.23/x
  3. Step 3: Cross multiply
    1,418.14x = 2,128.43 × 688.23
  4. Step 4: Simplify right side
    1,418.14x = 1,464,849.38
  5. Step 5: Solve for x
    x = 1,464,849.38/1,418.14
  6. Step 6: Final answer
    x = 1,032.94

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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.