Home / 1,464.34-2,020.78-834.97

Finding the Fourth Proportional to 1,464.34, 2,020.78 and 834.97

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Solution

The fourth proportional to 1,464.34, 2,020.78 and 834.97 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.34 : 2,020.78 = 834.97 : x
  2. Step 2: Convert to fraction form
    1,464.34/2,020.78 = 834.97/x
  3. Step 3: Cross multiply
    1,464.34x = 2,020.78 × 834.97
  4. Step 4: Simplify right side
    1,464.34x = 1,687,290.68
  5. Step 5: Solve for x
    x = 1,687,290.68/1,464.34
  6. Step 6: Final answer
    x = 1,152.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.