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Finding the Fourth Proportional to 1,168.95, 1,754.04 and 519.75

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Solution

The fourth proportional to 1,168.95, 1,754.04 and 519.75 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.95 : 1,754.04 = 519.75 : x
  2. Step 2: Convert to fraction form
    1,168.95/1,754.04 = 519.75/x
  3. Step 3: Cross multiply
    1,168.95x = 1,754.04 × 519.75
  4. Step 4: Simplify right side
    1,168.95x = 911,662.29
  5. Step 5: Solve for x
    x = 911,662.29/1,168.95
  6. Step 6: Final answer
    x = 779.90

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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.