Home / 1,727.32-2,590.73-494.83

Finding the Fourth Proportional to 1,727.32, 2,590.73 and 494.83

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Solution

The fourth proportional to 1,727.32, 2,590.73 and 494.83 is: 742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.32 : 2,590.73 = 494.83 : x
  2. Step 2: Convert to fraction form
    1,727.32/2,590.73 = 494.83/x
  3. Step 3: Cross multiply
    1,727.32x = 2,590.73 × 494.83
  4. Step 4: Simplify right side
    1,727.32x = 1,281,970.93
  5. Step 5: Solve for x
    x = 1,281,970.93/1,727.32
  6. Step 6: Final answer
    x = 742.18

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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.