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Finding the Fourth Proportional to 1,811.79, 2,717.61 and 579.27

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Solution

The fourth proportional to 1,811.79, 2,717.61 and 579.27 is: 868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.79 : 2,717.61 = 579.27 : x
  2. Step 2: Convert to fraction form
    1,811.79/2,717.61 = 579.27/x
  3. Step 3: Cross multiply
    1,811.79x = 2,717.61 × 579.27
  4. Step 4: Simplify right side
    1,811.79x = 1,574,229.94
  5. Step 5: Solve for x
    x = 1,574,229.94/1,811.79
  6. Step 6: Final answer
    x = 868.88

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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.