Home / 1,426.62-2,140.46-646.38

Finding the Fourth Proportional to 1,426.62, 2,140.46 and 646.38

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Solution

The fourth proportional to 1,426.62, 2,140.46 and 646.38 is: 969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.62 : 2,140.46 = 646.38 : x
  2. Step 2: Convert to fraction form
    1,426.62/2,140.46 = 646.38/x
  3. Step 3: Cross multiply
    1,426.62x = 2,140.46 × 646.38
  4. Step 4: Simplify right side
    1,426.62x = 1,383,547.30
  5. Step 5: Solve for x
    x = 1,383,547.30/1,426.62
  6. Step 6: Final answer
    x = 969.81

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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.