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Finding the Fourth Proportional to 1,711.82, 2,568.13 and 557.57

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Solution

The fourth proportional to 1,711.82, 2,568.13 and 557.57 is: 836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,711.82 : 2,568.13 = 557.57 : x
  2. Step 2: Convert to fraction form
    1,711.82/2,568.13 = 557.57/x
  3. Step 3: Cross multiply
    1,711.82x = 2,568.13 × 557.57
  4. Step 4: Simplify right side
    1,711.82x = 1,431,912.24
  5. Step 5: Solve for x
    x = 1,431,912.24/1,711.82
  6. Step 6: Final answer
    x = 836.49

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1.5x scale

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.