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Finding the Fourth Proportional to 1,811.14, 2,717.43 and 578.74

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Solution

The fourth proportional to 1,811.14, 2,717.43 and 578.74 is: 868.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.14 : 2,717.43 = 578.74 : x
  2. Step 2: Convert to fraction form
    1,811.14/2,717.43 = 578.74/x
  3. Step 3: Cross multiply
    1,811.14x = 2,717.43 × 578.74
  4. Step 4: Simplify right side
    1,811.14x = 1,572,685.44
  5. Step 5: Solve for x
    x = 1,572,685.44/1,811.14
  6. Step 6: Final answer
    x = 868.34

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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.