Home / 1,727.06-2,590.56-428.54

Finding the Fourth Proportional to 1,727.06, 2,590.56 and 428.54

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Solution

The fourth proportional to 1,727.06, 2,590.56 and 428.54 is: 642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.06 : 2,590.56 = 428.54 : x
  2. Step 2: Convert to fraction form
    1,727.06/2,590.56 = 428.54/x
  3. Step 3: Cross multiply
    1,727.06x = 2,590.56 × 428.54
  4. Step 4: Simplify right side
    1,727.06x = 1,110,158.58
  5. Step 5: Solve for x
    x = 1,110,158.58/1,727.06
  6. Step 6: Final answer
    x = 642.80

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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.