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Finding the Fourth Proportional to 919.42, 1,379.73 and 342.22

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Solution

The fourth proportional to 919.42, 1,379.73 and 342.22 is: 513.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.42 : 1,379.73 = 342.22 : x
  2. Step 2: Convert to fraction form
    919.42/1,379.73 = 342.22/x
  3. Step 3: Cross multiply
    919.42x = 1,379.73 × 342.22
  4. Step 4: Simplify right side
    919.42x = 472,171.20
  5. Step 5: Solve for x
    x = 472,171.20/919.42
  6. Step 6: Final answer
    x = 513.55

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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.