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Finding the Fourth Proportional to 1,752.62, 2,626.92 and 641.54

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Solution

The fourth proportional to 1,752.62, 2,626.92 and 641.54 is: 961.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.62 : 2,626.92 = 641.54 : x
  2. Step 2: Convert to fraction form
    1,752.62/2,626.92 = 641.54/x
  3. Step 3: Cross multiply
    1,752.62x = 2,626.92 × 641.54
  4. Step 4: Simplify right side
    1,752.62x = 1,685,274.26
  5. Step 5: Solve for x
    x = 1,685,274.26/1,752.62
  6. Step 6: Final answer
    x = 961.57

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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.