Home / 1,722.89-2,584.40-490.28

Finding the Fourth Proportional to 1,722.89, 2,584.40 and 490.28

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Solution

The fourth proportional to 1,722.89, 2,584.40 and 490.28 is: 735.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.89 : 2,584.40 = 490.28 : x
  2. Step 2: Convert to fraction form
    1,722.89/2,584.40 = 490.28/x
  3. Step 3: Cross multiply
    1,722.89x = 2,584.40 × 490.28
  4. Step 4: Simplify right side
    1,722.89x = 1,267,064.26
  5. Step 5: Solve for x
    x = 1,267,064.26/1,722.89
  6. Step 6: Final answer
    x = 735.43

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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.