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Finding the Fourth Proportional to 1,168.50, 1,753.06 and 519.09

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Solution

The fourth proportional to 1,168.50, 1,753.06 and 519.09 is: 778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.50 : 1,753.06 = 519.09 : x
  2. Step 2: Convert to fraction form
    1,168.50/1,753.06 = 519.09/x
  3. Step 3: Cross multiply
    1,168.50x = 1,753.06 × 519.09
  4. Step 4: Simplify right side
    1,168.50x = 909,995.92
  5. Step 5: Solve for x
    x = 909,995.92/1,168.50
  6. Step 6: Final answer
    x = 778.77

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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.