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Finding the Fourth Proportional to 1,751.97, 2,628.47 and 519.42

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Solution

The fourth proportional to 1,751.97, 2,628.47 and 519.42 is: 779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.97 : 2,628.47 = 519.42 : x
  2. Step 2: Convert to fraction form
    1,751.97/2,628.47 = 519.42/x
  3. Step 3: Cross multiply
    1,751.97x = 2,628.47 × 519.42
  4. Step 4: Simplify right side
    1,751.97x = 1,365,279.89
  5. Step 5: Solve for x
    x = 1,365,279.89/1,751.97
  6. Step 6: Final answer
    x = 779.28

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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.