Home / 1,727.07-2,590.62-428.55

Finding the Fourth Proportional to 1,727.07, 2,590.62 and 428.55

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Solution

The fourth proportional to 1,727.07, 2,590.62 and 428.55 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.07 : 2,590.62 = 428.55 : x
  2. Step 2: Convert to fraction form
    1,727.07/2,590.62 = 428.55/x
  3. Step 3: Cross multiply
    1,727.07x = 2,590.62 × 428.55
  4. Step 4: Simplify right side
    1,727.07x = 1,110,210.20
  5. Step 5: Solve for x
    x = 1,110,210.20/1,727.07
  6. Step 6: Final answer
    x = 642.83

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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.