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Finding the Fourth Proportional to 1,619.81, 2,429.75 and 579.88

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Solution

The fourth proportional to 1,619.81, 2,429.75 and 579.88 is: 869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.81 : 2,429.75 = 579.88 : x
  2. Step 2: Convert to fraction form
    1,619.81/2,429.75 = 579.88/x
  3. Step 3: Cross multiply
    1,619.81x = 2,429.75 × 579.88
  4. Step 4: Simplify right side
    1,619.81x = 1,408,965.74
  5. Step 5: Solve for x
    x = 1,408,965.74/1,619.81
  6. Step 6: Final answer
    x = 869.84

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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.