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Finding the Fourth Proportional to 1,642, 2,462.38 and 546.20

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Solution

The fourth proportional to 1,642, 2,462.38 and 546.20 is: 819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642 : 2,462.38 = 546.20 : x
  2. Step 2: Convert to fraction form
    1,642/2,462.38 = 546.20/x
  3. Step 3: Cross multiply
    1,642x = 2,462.38 × 546.20
  4. Step 4: Simplify right side
    1,642x = 1,344,951.96
  5. Step 5: Solve for x
    x = 1,344,951.96/1,642
  6. Step 6: Final answer
    x = 819.09

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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.