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Finding the Fourth Proportional to 1,646.82, 2,470.92 and 721.90

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Solution

The fourth proportional to 1,646.82, 2,470.92 and 721.90 is: 1,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.82 : 2,470.92 = 721.90 : x
  2. Step 2: Convert to fraction form
    1,646.82/2,470.92 = 721.90/x
  3. Step 3: Cross multiply
    1,646.82x = 2,470.92 × 721.90
  4. Step 4: Simplify right side
    1,646.82x = 1,783,757.15
  5. Step 5: Solve for x
    x = 1,783,757.15/1,646.82
  6. Step 6: Final answer
    x = 1,083.15

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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.