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Finding the Fourth Proportional to 1,168.76, 1,754.26 and 519.72

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Solution

The fourth proportional to 1,168.76, 1,754.26 and 519.72 is: 780.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.76 : 1,754.26 = 519.72 : x
  2. Step 2: Convert to fraction form
    1,168.76/1,754.26 = 519.72/x
  3. Step 3: Cross multiply
    1,168.76x = 1,754.26 × 519.72
  4. Step 4: Simplify right side
    1,168.76x = 911,724.01
  5. Step 5: Solve for x
    x = 911,724.01/1,168.76
  6. Step 6: Final answer
    x = 780.08

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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.