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Finding the Fourth Proportional to 919.83, 1,379.48 and 757.11

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Solution

The fourth proportional to 919.83, 1,379.48 and 757.11 is: 1,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.83 : 1,379.48 = 757.11 : x
  2. Step 2: Convert to fraction form
    919.83/1,379.48 = 757.11/x
  3. Step 3: Cross multiply
    919.83x = 1,379.48 × 757.11
  4. Step 4: Simplify right side
    919.83x = 1,044,414.32
  5. Step 5: Solve for x
    x = 1,044,414.32/919.83
  6. Step 6: Final answer
    x = 1,135.44

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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.