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Finding the Fourth Proportional to 1,169.02, 1,753.94 and 519.81

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Solution

The fourth proportional to 1,169.02, 1,753.94 and 519.81 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.02 : 1,753.94 = 519.81 : x
  2. Step 2: Convert to fraction form
    1,169.02/1,753.94 = 519.81/x
  3. Step 3: Cross multiply
    1,169.02x = 1,753.94 × 519.81
  4. Step 4: Simplify right side
    1,169.02x = 911,715.55
  5. Step 5: Solve for x
    x = 911,715.55/1,169.02
  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.