Home / 1,419.14-2,128.91-596.90

Finding the Fourth Proportional to 1,419.14, 2,128.91 and 596.90

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Solution

The fourth proportional to 1,419.14, 2,128.91 and 596.90 is: 895.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.14 : 2,128.91 = 596.90 : x
  2. Step 2: Convert to fraction form
    1,419.14/2,128.91 = 596.90/x
  3. Step 3: Cross multiply
    1,419.14x = 2,128.91 × 596.90
  4. Step 4: Simplify right side
    1,419.14x = 1,270,746.38
  5. Step 5: Solve for x
    x = 1,270,746.38/1,419.14
  6. Step 6: Final answer
    x = 895.43

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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.