Home / 1,727.21-2,589.90-686.68

Finding the Fourth Proportional to 1,727.21, 2,589.90 and 686.68

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Solution

The fourth proportional to 1,727.21, 2,589.90 and 686.68 is: 1,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.21 : 2,589.90 = 686.68 : x
  2. Step 2: Convert to fraction form
    1,727.21/2,589.90 = 686.68/x
  3. Step 3: Cross multiply
    1,727.21x = 2,589.90 × 686.68
  4. Step 4: Simplify right side
    1,727.21x = 1,778,425.41
  5. Step 5: Solve for x
    x = 1,778,425.41/1,727.21
  6. Step 6: Final answer
    x = 1,029.65

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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.