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Finding the Fourth Proportional to 1,744.26, 2,617.08 and 649.54

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Solution

The fourth proportional to 1,744.26, 2,617.08 and 649.54 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.26 : 2,617.08 = 649.54 : x
  2. Step 2: Convert to fraction form
    1,744.26/2,617.08 = 649.54/x
  3. Step 3: Cross multiply
    1,744.26x = 2,617.08 × 649.54
  4. Step 4: Simplify right side
    1,744.26x = 1,699,898.14
  5. Step 5: Solve for x
    x = 1,699,898.14/1,744.26
  6. Step 6: Final answer
    x = 974.57

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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.