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Finding the Fourth Proportional to 1,805.01, 2,707.68 and 506.49

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Solution

The fourth proportional to 1,805.01, 2,707.68 and 506.49 is: 759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.01 : 2,707.68 = 506.49 : x
  2. Step 2: Convert to fraction form
    1,805.01/2,707.68 = 506.49/x
  3. Step 3: Cross multiply
    1,805.01x = 2,707.68 × 506.49
  4. Step 4: Simplify right side
    1,805.01x = 1,371,412.84
  5. Step 5: Solve for x
    x = 1,371,412.84/1,805.01
  6. Step 6: Final answer
    x = 759.78

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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.