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Finding the Fourth Proportional to 919.96, 1,269.48 and 723.94

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Solution

The fourth proportional to 919.96, 1,269.48 and 723.94 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.96 : 1,269.48 = 723.94 : x
  2. Step 2: Convert to fraction form
    919.96/1,269.48 = 723.94/x
  3. Step 3: Cross multiply
    919.96x = 1,269.48 × 723.94
  4. Step 4: Simplify right side
    919.96x = 919,027.35
  5. Step 5: Solve for x
    x = 919,027.35/919.96
  6. Step 6: Final answer
    x = 998.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.