Home / 1,727.11-2,590.63-428.59

Finding the Fourth Proportional to 1,727.11, 2,590.63 and 428.59

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Solution

The fourth proportional to 1,727.11, 2,590.63 and 428.59 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.11 : 2,590.63 = 428.59 : x
  2. Step 2: Convert to fraction form
    1,727.11/2,590.63 = 428.59/x
  3. Step 3: Cross multiply
    1,727.11x = 2,590.63 × 428.59
  4. Step 4: Simplify right side
    1,727.11x = 1,110,318.11
  5. Step 5: Solve for x
    x = 1,110,318.11/1,727.11
  6. Step 6: Final answer
    x = 642.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.