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Finding the Fourth Proportional to 1,744.43, 2,617.67 and 649.57

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Solution

The fourth proportional to 1,744.43, 2,617.67 and 649.57 is: 974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.43 : 2,617.67 = 649.57 : x
  2. Step 2: Convert to fraction form
    1,744.43/2,617.67 = 649.57/x
  3. Step 3: Cross multiply
    1,744.43x = 2,617.67 × 649.57
  4. Step 4: Simplify right side
    1,744.43x = 1,700,356.65
  5. Step 5: Solve for x
    x = 1,700,356.65/1,744.43
  6. Step 6: Final answer
    x = 974.73

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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.