Home / 1,698.20-2,546.76-968.12

Finding the Fourth Proportional to 1,698.20, 2,546.76 and 968.12

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Solution

The fourth proportional to 1,698.20, 2,546.76 and 968.12 is: 1,451.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698.20 : 2,546.76 = 968.12 : x
  2. Step 2: Convert to fraction form
    1,698.20/2,546.76 = 968.12/x
  3. Step 3: Cross multiply
    1,698.20x = 2,546.76 × 968.12
  4. Step 4: Simplify right side
    1,698.20x = 2,465,569.29
  5. Step 5: Solve for x
    x = 2,465,569.29/1,698.20
  6. Step 6: Final answer
    x = 1,451.87

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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.