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Finding the Fourth Proportional to 1,619.72, 2,428.97 and 579.53

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Solution

The fourth proportional to 1,619.72, 2,428.97 and 579.53 is: 869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.72 : 2,428.97 = 579.53 : x
  2. Step 2: Convert to fraction form
    1,619.72/2,428.97 = 579.53/x
  3. Step 3: Cross multiply
    1,619.72x = 2,428.97 × 579.53
  4. Step 4: Simplify right side
    1,619.72x = 1,407,660.98
  5. Step 5: Solve for x
    x = 1,407,660.98/1,619.72
  6. Step 6: Final answer
    x = 869.08

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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.