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Finding the Fourth Proportional to 1,471.22, 2,206.58 and 546.56

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Solution

The fourth proportional to 1,471.22, 2,206.58 and 546.56 is: 819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.22 : 2,206.58 = 546.56 : x
  2. Step 2: Convert to fraction form
    1,471.22/2,206.58 = 546.56/x
  3. Step 3: Cross multiply
    1,471.22x = 2,206.58 × 546.56
  4. Step 4: Simplify right side
    1,471.22x = 1,206,028.36
  5. Step 5: Solve for x
    x = 1,206,028.36/1,471.22
  6. Step 6: Final answer
    x = 819.75

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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.