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Finding the Fourth Proportional to 1,646.09, 2,470.11 and 606.82

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Solution

The fourth proportional to 1,646.09, 2,470.11 and 606.82 is: 910.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.09 : 2,470.11 = 606.82 : x
  2. Step 2: Convert to fraction form
    1,646.09/2,470.11 = 606.82/x
  3. Step 3: Cross multiply
    1,646.09x = 2,470.11 × 606.82
  4. Step 4: Simplify right side
    1,646.09x = 1,498,912.15
  5. Step 5: Solve for x
    x = 1,498,912.15/1,646.09
  6. Step 6: Final answer
    x = 910.59

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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.