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Finding the Fourth Proportional to 1,641.84, 2,462.90 and 546.21

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Solution

The fourth proportional to 1,641.84, 2,462.90 and 546.21 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.84 : 2,462.90 = 546.21 : x
  2. Step 2: Convert to fraction form
    1,641.84/2,462.90 = 546.21/x
  3. Step 3: Cross multiply
    1,641.84x = 2,462.90 × 546.21
  4. Step 4: Simplify right side
    1,641.84x = 1,345,260.61
  5. Step 5: Solve for x
    x = 1,345,260.61/1,641.84
  6. Step 6: Final answer
    x = 819.36

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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.