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Finding the Fourth Proportional to 1,744.50, 2,616.12 and 511.59

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Solution

The fourth proportional to 1,744.50, 2,616.12 and 511.59 is: 767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.50 : 2,616.12 = 511.59 : x
  2. Step 2: Convert to fraction form
    1,744.50/2,616.12 = 511.59/x
  3. Step 3: Cross multiply
    1,744.50x = 2,616.12 × 511.59
  4. Step 4: Simplify right side
    1,744.50x = 1,338,380.83
  5. Step 5: Solve for x
    x = 1,338,380.83/1,744.50
  6. Step 6: Final answer
    x = 767.20

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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.